Calculators & Converters

    93 and 99 LCM

    LCM - Least Common Multiple Calculator

    LCM of 93 and 99 is equal to 3069. The comprehensive work provides more insight of how to find what is the lcm of 93 and 99 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

    what is the lcm of 93 and 99?
    lcm (93   99) = (?)
    93 => 3 x 31
    99 => 3 x 3 x 11

    = 3 x 31 x 3 x 11
    = 3069
    lcm (93 and 99) = 3069
    3069 is the lcm of 93 and 99.

    where,
    93 is a positive integer,
    99 is a positive integer,
    3069 is the lcm of 93 and 99,
    {3} in {3 x 31, 3 x 3 x 11} is the common factors of 93 and 99,
    {31 x 3 x 11} in {3 x 31, 3 x 3 x 11} are the uncommon factors of 93 and 99.

    Use in Mathematics: LCM of 93 and 99
    The below are some of the mathematical applications where lcm of 93 and 99 can be used:

    1. to find the least number which is exactly divisible by 93 and 99.
    2. to find the common denominator for two fractions having 93 and 99 as denominators in the unlike fractions addition or subtraction.
    Use in Real-world Problems: 93 and 99 lcm
    In the context of lcm real world problems, the lcm of 93 and 99 helps to find the exact time when two similar and recurring events with different time schedule happens together at the same time. For example, the real world problems involve lcm in situations to find at what time the bells A and B all toll together, if bell A tolls at 93 seconds and bell B tolls at 99 seconds repeatedly. The answer is that all bells A and B toll together at 3069 seconds for the first time, at 6138 seconds for the second time, at 9207 seconds for the third time and so on.

    Important Notes: 93 and 99 lcm
    The below are the important notes to be remembered while solving the lcm of 93 and 99:
    1. The common prime factors and the remaining prime factors of 93 and 99 should be multiplied to find the least common multiple of 93 and 99, when solving lcm by using prime factors method.
    2. The results of lcm of 93 and 99, and the lcm of 99 and 93 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
    For values other than 93 and 99, use this below tool:

    How-to: What is the LCM of 93 and 99?

    The below solved example with step by step work shows how to find what is the lcm of 93 and 99 by using prime factors method and division method.

    Solved example using prime factors method:
    What is the LCM of 93 and 99?

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    A = 93
    B = 99

    What to be found:
    find the lcm of 93 and 99

    step 2 Find the prime factors of 93 and 99:
    Prime factors of 93 = 3 x 31
    Prime factors of 99 = 3 x 3 x 11

    step 3 Identify the repeated and non-repeated prime factors of 93 and 99:
    {3} is the most repeated factor and {31 x 3 x 11} are the non-repeated factors of 93 and 99.

    step 4 Find the product of repeated and non-repeated prime factors of 93 and 99:
    = 3 x 31 x 3 x 11
    = 3069
    lcm(93 and 99) = 3069

    Hence,
    lcm of 93 and 99 is 3069


    Solved example using special division method:
    This special division method is the easiest way to understand the entire calculation of what is the lcm of 93 and 99.

    step 1 Address the input parameters, values and observe what to be found:
    Input parameters and values:
    Integers: 93 and 99

    What to be found:
    lcm (93, 99) = ?

    step 2 Arrange the given integers in the horizontal form with space or comma separated format:
    93 and 99

    step 3 Choose the divisor which divides each or most of the given integers (93 and 99), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if any integer in 93 and 99 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

    39399
    33133
    113111
    31311
    11

    step 4 Multiply the divisors to find the lcm of 93 and 99:
    = 3 x 3 x 11 x 31
    = 3069
    LCM(93, 99) = 3069

    The least common multiple for two numbers 93 and 99 is 3069
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