Least Common Multiple of 124 and 129

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 129 the smallest integer that is 15996 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 129 is 15996.

LCM(124,129) = 15996

LCM of 124 and 129

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

LCM of:
and

Least Common Multiple of 124 and 129

LCM of 124 and 129 is 15996

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 129. First we will calculate the prime factors of 124 and 129.

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 129


3 129
43 43
1

Prime factors of 129 are 3,43. Prime factorization of 129 in exponential form is:

129 = 31×431

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 129.

LCM(124,129) = 22×31×311×431
LCM(124,129) = 15996

Factors of 124

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

1, 2, 4, 31, 62, 124

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Least Common Multiple of 124 and 129 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 129, than apply into the LCM equation.

GCF(124,129) = 1
LCM(124,129) = ( 124 × 129) / 1
LCM(124,129) = 15996 / 1
LCM(124,129) = 15996

Properties of LCM 124 and 129

(i) The LCM of 129 and 124 is associative

LCM of 124 and 129 = LCM of 129 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 129

Frequently Asked Questions on LCM of 124 and 129

1. What is the LCM of 124 and 129?

Answer: LCM of 124 and 129 is 15996.

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 129?

Answer: Factors of 129 are 1, 3, 43, 129. There are 4 integers that are factors of 129. The greatest factor of 129 is 129.

4. How to Find the LCM of 124 and 129?

Answer:

Least Common Multiple of 124 and 129 = 15996

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 129

129 = 3 x 43

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

LCM = 15996 = 2 x 2 x 3 x 31 x 43

Step 4: Therefore, the least common multiple of 124 and 129 is 15996.