Least Common Multiple of 124 and 125

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 125 the smallest integer that is 15500 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 125 is 15500.

LCM(124,125) = 15500

LCM of 124 and 125

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

LCM of:
and

Least Common Multiple of 124 and 125

LCM of 124 and 125 is 15500

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 125. First we will calculate the prime factors of 124 and 125.

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 125


5 125
5 25
5 5
1

Prime factors of 125 are 5. Prime factorization of 125 in exponential form is:

125 = 53

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 125.

LCM(124,125) = 22×53×311
LCM(124,125) = 15500

Factors of 124

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

1, 2, 4, 31, 62, 124

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Least Common Multiple of 124 and 125 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 125, than apply into the LCM equation.

GCF(124,125) = 1
LCM(124,125) = ( 124 × 125) / 1
LCM(124,125) = 15500 / 1
LCM(124,125) = 15500

Properties of LCM 124 and 125

(i) The LCM of 125 and 124 is associative

LCM of 124 and 125 = LCM of 125 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 125

Frequently Asked Questions on LCM of 124 and 125

1. What is the LCM of 124 and 125?

Answer: LCM of 124 and 125 is 15500.

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 125?

Answer: Factors of 125 are 1, 5, 25, 125. There are 4 integers that are factors of 125. The greatest factor of 125 is 125.

4. How to Find the LCM of 124 and 125?

Answer:

Least Common Multiple of 124 and 125 = 15500

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 125

125 = 5 x 5 x 5

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

LCM = 15500 = 2 x 2 x 5 x 5 x 5 x 31

Step 4: Therefore, the least common multiple of 124 and 125 is 15500.