Least Common Multiple of 117 and 124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 117 and 124 the smallest integer that is 14508 that is divisible by both numbers.

Least Common Multiple (LCM) of 117 and 124 is 14508.

LCM(117,124) = 14508

LCM of 117 and 124

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 117 and 124

LCM of 117 and 124 is 14508

Least common multiple can be found by multiplying the highest exponent prime factors of 117 and 124. First we will calculate the prime factors of 117 and 124.

Prime Factorization of 117


3 117
3 39
13 13
1

Prime factors of 117 are 3,13. Prime factorization of 117 in exponential form is:

117 = 32×131

Prime Factorization of 124


2 124
2 62
31 31
1

Prime factors of 124 are 2,31. Prime factorization of 124 in exponential form is:

124 = 22×311

Now multiplying the highest exponent prime factors to calculate the LCM of 117 and 124.

LCM(117,124) = 22×32×131×311
LCM(117,124) = 14508

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1, 2, 4, 31, 62, 124

Least Common Multiple of 117 and 124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 117 and 124, than apply into the LCM equation.

GCF(117,124) = 1
LCM(117,124) = ( 117 × 124) / 1
LCM(117,124) = 14508 / 1
LCM(117,124) = 14508

Properties of LCM 117 and 124

(i) The LCM of 124 and 117 is associative

LCM of 117 and 124 = LCM of 124 and 117

Related Least Common Multiples of 117

Related Least Common Multiples of 124

Frequently Asked Questions on LCM of 117 and 124

1. What is the LCM of 117 and 124?

Answer: LCM of 117 and 124 is 14508.

2. What are the Factors of 117?

Answer: Factors of 117 are 1, 3, 9, 13, 39, 117. There are 6 integers that are factors of 117. The greatest factor of 117 is 117.

3. What are the Factors of 124?

Answer: Factors of 124 are 1, 2, 4, 31, 62, 124. There are 6 integers that are factors of 124. The greatest factor of 124 is 124.

4. How to Find the LCM of 117 and 124?

Answer:

Least Common Multiple of 117 and 124 = 14508

Step 1: Find the prime factorization of 117

117 = 3 x 3 x 13

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 14508 = 2 x 2 x 3 x 3 x 13 x 31

Step 4: Therefore, the least common multiple of 117 and 124 is 14508.