Least Common Multiple of 120 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 120 and 127 the smallest integer that is 15240 that is divisible by both numbers.

Least Common Multiple (LCM) of 120 and 127 is 15240.

LCM(120,127) = 15240

LCM of 120 and 127

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

LCM of:
and

Least Common Multiple of 120 and 127

LCM of 120 and 127 is 15240

Least common multiple can be found by multiplying the highest exponent prime factors of 120 and 127. First we will calculate the prime factors of 120 and 127.

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 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 120 and 127.

LCM(120,127) = 23×31×51×1271
LCM(120,127) = 15240

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 127

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

1, 127

Least Common Multiple of 120 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 120 and 127, than apply into the LCM equation.

GCF(120,127) = 1
LCM(120,127) = ( 120 × 127) / 1
LCM(120,127) = 15240 / 1
LCM(120,127) = 15240

Properties of LCM 120 and 127

(i) The LCM of 127 and 120 is associative

LCM of 120 and 127 = LCM of 127 and 120

Related Least Common Multiples of 120

Related Least Common Multiples of 127

Frequently Asked Questions on LCM of 120 and 127

1. What is the LCM of 120 and 127?

Answer: LCM of 120 and 127 is 15240.

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 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 120 and 127?

Answer:

Least Common Multiple of 120 and 127 = 15240

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 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 = 15240 = 2 x 2 x 2 x 3 x 5 x 127

Step 4: Therefore, the least common multiple of 120 and 127 is 15240.