Least Common Multiple of 124 and 132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 124 and 132 the smallest integer that is 4092 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 132 is 4092.

LCM(124,132) = 4092

LCM of 124 and 132

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

LCM of:
and

Least Common Multiple of 124 and 132

LCM of 124 and 132 is 4092

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 132. First we will calculate the prime factors of 124 and 132.

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

Prime Factorization of 132


2 132
2 66
3 33
11 11
1

Prime factors of 132 are 2, 3,11. Prime factorization of 132 in exponential form is:

132 = 22×31×111

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 132.

LCM(124,132) = 22×31×111×311
LCM(124,132) = 4092

Factors of 124

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

1, 2, 4, 31, 62, 124

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Least Common Multiple of 124 and 132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 124 and 132, than apply into the LCM equation.

GCF(124,132) = 4
LCM(124,132) = ( 124 × 132) / 4
LCM(124,132) = 16368 / 4
LCM(124,132) = 4092

Properties of LCM 124 and 132

(i) The LCM of 132 and 124 is associative

LCM of 124 and 132 = LCM of 132 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 132

Frequently Asked Questions on LCM of 124 and 132

1. What is the LCM of 124 and 132?

Answer: LCM of 124 and 132 is 4092.

2. 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.

3. What are the Factors of 132?

Answer: Factors of 132 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132. There are 12 integers that are factors of 132. The greatest factor of 132 is 132.

4. How to Find the LCM of 124 and 132?

Answer:

Least Common Multiple of 124 and 132 = 4092

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 132

132 = 2 x 2 x 3 x 11

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

LCM = 4092 = 2 x 2 x 3 x 11 x 31

Step 4: Therefore, the least common multiple of 124 and 132 is 4092.