Least Common Multiple of 124 and 127

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 127 the smallest integer that is 15748 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 127 is 15748.

LCM(124,127) = 15748

LCM of 124 and 127

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

LCM of:
and

Least Common Multiple of 124 and 127

LCM of 124 and 127 is 15748

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 127. First we will calculate the prime factors of 124 and 127.

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 127


127 127
1

Prime factors of 127 are 127. Prime factorization of 127 in exponential form is:

127 = 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 127.

LCM(124,127) = 22×311×1271
LCM(124,127) = 15748

Factors of 124

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

1, 2, 4, 31, 62, 124

Factors of 127

List of positive integer factors of 127 that divides 127 without a remainder.

1, 127

Least Common Multiple of 124 and 127 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 127, than apply into the LCM equation.

GCF(124,127) = 1
LCM(124,127) = ( 124 × 127) / 1
LCM(124,127) = 15748 / 1
LCM(124,127) = 15748

Properties of LCM 124 and 127

(i) The LCM of 127 and 124 is associative

LCM of 124 and 127 = LCM of 127 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 127

Frequently Asked Questions on LCM of 124 and 127

1. What is the LCM of 124 and 127?

Answer: LCM of 124 and 127 is 15748.

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 127?

Answer: Factors of 127 are 1, 127. There are 2 integers that are factors of 127. The greatest factor of 127 is 127.

4. How to Find the LCM of 124 and 127?

Answer:

Least Common Multiple of 124 and 127 = 15748

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 127

127 = 127

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

LCM = 15748 = 2 x 2 x 31 x 127

Step 4: Therefore, the least common multiple of 124 and 127 is 15748.