# 117 and 169 LCM LCM of 117 and 169 is equal to 1521. The comprehensive work provides more insight of how to find what is the lcm of 117 and 169 by using prime factors and special division methods, and the example use case of mathematics and real world problems.

what is the lcm of 117 and 169?
lcm (117   169) = (?)
117 => 3 x 3 x 13
169 => 13 x 13

= 13 x 3 x 3 x 13
= 1521
lcm (117 and 169) = 1521
1521 is the lcm of 117 and 169.

where,
117 is a positive integer,
169 is a positive integer,
1521 is the lcm of 117 and 169,
{13} in {3 x 3 x 13, 13 x 13} is the common factors of 117 and 169,
{3 x 3 x 13} in {3 x 3 x 13, 13 x 13} are the uncommon factors of 117 and 169.

Use in Mathematics: LCM of 117 and 169
The below are some of the mathematical applications where lcm of 117 and 169 can be used:

1. to find the least number which is exactly divisible by 117 and 169.
2. to find the common denominator for two fractions having 117 and 169 as denominators in the unlike fractions addition or subtraction.
Use in Real-world Problems: 117 and 169 lcm
In the context of lcm real world problems, the lcm of 117 and 169 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 117 seconds and bell B tolls at 169 seconds repeatedly. The answer is that all bells A and B toll together at 1521 seconds for the first time, at 3042 seconds for the second time, at 4563 seconds for the third time and so on.

Important Notes: 117 and 169 lcm
The below are the important notes to be remembered while solving the lcm of 117 and 169:
1. The common prime factors and the remaining prime factors of 117 and 169 should be multiplied to find the least common multiple of 117 and 169, when solving lcm by using prime factors method.
2. The results of lcm of 117 and 169, and the lcm of 169 and 117 are identical, it means the order of given numbers in the lcm calculation doesn't affect the results.
For values other than 117 and 169, use this below tool:

## How-to: What is the LCM of 117 and 169?

The below solved example with step by step work shows how to find what is the lcm of 117 and 169 by using prime factors method and division method.

Solved example using prime factors method:
What is the LCM of 117 and 169?

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 117
B = 169

What to be found:
find the lcm of 117 and 169

step 2 Find the prime factors of 117 and 169:
Prime factors of 117 = 3 x 3 x 13
Prime factors of 169 = 13 x 13

step 3 Identify the repeated and non-repeated prime factors of 117 and 169:
{13} is the most repeated factor and {3 x 3 x 13} are the non-repeated factors of 117 and 169.

step 4 Find the product of repeated and non-repeated prime factors of 117 and 169:
= 13 x 3 x 3 x 13
= 1521
lcm(117 and 169) = 1521

Hence,
lcm of 117 and 169 is 1521

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 117 and 169.

step 1 Address the input parameters, values and observe what to be found:
Input parameters and values:
Integers: 117 and 169

What to be found:
lcm (117, 169) = ?

step 2 Arrange the given integers in the horizontal form with space or comma separated format:
117 and 169

step 3 Choose the divisor which divides each or most of the given integers (117 and 169), 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 117 and 169 is not divisible by the selected divisor; repeat the same process until all the integers are brought to 1 as like below:

 3 117 169 3 39 169 13 13 169 13 1 13 1 1

step 4 Multiply the divisors to find the lcm of 117 and 169:
= 3 x 3 x 13 x 13
= 1521
LCM(117, 169) = 1521

The least common multiple for two numbers 117 and 169 is 1521 