Least Common Multiple of 120 and 124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 120 and 124 the smallest integer that is 3720 that is divisible by both numbers.

Least Common Multiple (LCM) of 120 and 124 is 3720.

LCM(120,124) = 3720

LCM of 120 and 124

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

LCM of:
and

Least Common Multiple of 120 and 124

LCM of 120 and 124 is 3720

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 124. First we will calculate the prime factors of 120 and 124.

Prime Factorization of 120


2 120
2 60
2 30
3 15
5 5
1

Prime factors of 120 are 2, 3,5. Prime factorization of 120 in exponential form is:

120 = 23×31×51

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

Now multiplying the highest exponent prime factors to calculate the LCM of 120 and 124.

LCM(120,124) = 23×31×51×311
LCM(120,124) = 3720

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Factors of 124

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

1, 2, 4, 31, 62, 124

Least Common Multiple of 120 and 124 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 120 and 124, than apply into the LCM equation.

GCF(120,124) = 4
LCM(120,124) = ( 120 × 124) / 4
LCM(120,124) = 14880 / 4
LCM(120,124) = 3720

Properties of LCM 120 and 124

(i) The LCM of 124 and 120 is associative

LCM of 120 and 124 = LCM of 124 and 120

Related Least Common Multiples of 120

Related Least Common Multiples of 124

Frequently Asked Questions on LCM of 120 and 124

1. What is the LCM of 120 and 124?

Answer: LCM of 120 and 124 is 3720.

2. What are the Factors of 120?

Answer: Factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120. There are 16 integers that are factors of 120. The greatest factor of 120 is 120.

3. 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.

4. How to Find the LCM of 120 and 124?

Answer:

Least Common Multiple of 120 and 124 = 3720

Step 1: Find the prime factorization of 120

120 = 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 124

124 = 2 x 2 x 31

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

LCM = 3720 = 2 x 2 x 2 x 3 x 5 x 31

Step 4: Therefore, the least common multiple of 120 and 124 is 3720.