LCM of 73 and 78
5694 is the LCM of 73 and 78. The step-by-step solution using prime factors and special division methods is one of the simple methods to easily understand how to find what is the LCM of 73 and 78, provided along with the use cases of mathematics and real-world problems.
what is the lcm of 73 and 78?
lcm (73 78) = (?)
73 => 73
78 => 2 x 3 x 13
= 73 x 2 x 3 x 13
= 5694
lcm (73 and 78) = 5694
5694 is the LCM of 73 and 78.
where,
73 is a positive integer,
78 is a positive integer,
5694 is the LCM of 73 and 78,
There is no common factors of 73 and 78 in {73, 2 x 3 x 13},
{73 x 2 x 3 x 13} in {73, 2 x 3 x 13} are the uncommon factors of 73 and 78.
Use in Mathematics: LCM of 73 and 78
The below are some of the mathematical applications where lcm of 73 and 78 can be used:
- to find the least number which is exactly divisible by 73 and 78.
- to find the common denominator for two fractions having 73 and 78 as denominators in the unlike fractions addition or subtraction.
In the context of lcm real world problems, the lcm of 73 and 78 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 73 seconds and bell B tolls at 78 seconds repeatedly. The answer is that all bells A and B toll together at 5694 seconds for the first time, at 11388 seconds for the second time, at 17082 seconds for the third time and so on.
Important Notes: 73 and 78 lcm
The below are the important notes to be remembered while solving the lcm of 73 and 78:
- The common prime factors and the remaining prime factors of 73 and 78 should be multiplied to find the least common multiple of 73 and 78, when solving lcm by using prime factors method.
- The results of lcm of 73 and 78, and the lcm of 78 and 73 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
How-to: What is the LCM of 73 and 78?
The below solved example with step by step work shows how to find what is the lcm of 73 and 78 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 73 and 78?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 73
B = 78
What to be found:
find the lcm of 73 and 78
step 2 Find the prime factors of 73 and 78:
Prime factors of 73 = 73
Prime factors of 78 = 2 x 3 x 13
step 3Identify the repeated and non-repeated prime factors of 73 and 78:
Since there is no common factors between 73 and 78, multiplying the given numbers directly provides the LCM of
73 and 78.
= 73 x 78
= 5694
lcm(73 and 78) = 5694
Hence,
lcm of 73 and 78 is 5694
This special division method is one of the easiest ways to understand the entire calculation to find the LCM of 73 and 78.
step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 73 and 78
What to be found:
lcm (73, 78) = ?
step 2 Arrange the given integers in the horizontal form with space or comma separated format:
73 and 78
step 3 Choose the divisor which divides each or most of the given integers (73 and 78), 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 73 and 78 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:
| 2 | 73 | 78 |
| 3 | 73 | 39 |
| 13 | 73 | 13 |
| 73 | 73 | 1 |
| 1 | 1 |
step 4 Multiply the divisors to find the lcm of 73 and 78:
= 2 x 3 x 13 x 73
= 5694
LCM(73, 78) = 5694
The LCM of two numbers 73 and 78 is 5694