Least Common Multiple of 124 and 130

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 130 the smallest integer that is 8060 that is divisible by both numbers.

Least Common Multiple (LCM) of 124 and 130 is 8060.

LCM(124,130) = 8060

LCM of 124 and 130

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

LCM of:
and

Least Common Multiple of 124 and 130

LCM of 124 and 130 is 8060

Least common multiple can be found by multiplying the highest exponent prime factors of 124 and 130. First we will calculate the prime factors of 124 and 130.

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 130


2 130
5 65
13 13
1

Prime factors of 130 are 2, 5,13. Prime factorization of 130 in exponential form is:

130 = 21×51×131

Now multiplying the highest exponent prime factors to calculate the LCM of 124 and 130.

LCM(124,130) = 22×51×131×311
LCM(124,130) = 8060

Factors of 124

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

1, 2, 4, 31, 62, 124

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130

Least Common Multiple of 124 and 130 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 130, than apply into the LCM equation.

GCF(124,130) = 2
LCM(124,130) = ( 124 × 130) / 2
LCM(124,130) = 16120 / 2
LCM(124,130) = 8060

Properties of LCM 124 and 130

(i) The LCM of 130 and 124 is associative

LCM of 124 and 130 = LCM of 130 and 124

Related Least Common Multiples of 124

Related Least Common Multiples of 130

Frequently Asked Questions on LCM of 124 and 130

1. What is the LCM of 124 and 130?

Answer: LCM of 124 and 130 is 8060.

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 130?

Answer: Factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130. There are 8 integers that are factors of 130. The greatest factor of 130 is 130.

4. How to Find the LCM of 124 and 130?

Answer:

Least Common Multiple of 124 and 130 = 8060

Step 1: Find the prime factorization of 124

124 = 2 x 2 x 31

Step 2: Find the prime factorization of 130

130 = 2 x 5 x 13

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

LCM = 8060 = 2 x 2 x 5 x 13 x 31

Step 4: Therefore, the least common multiple of 124 and 130 is 8060.