GCF and LCM Calculator Logo

What is the Least Common Multiple of 3120 and 3127?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 3120 and 3127 is 9756240.

LCM(3120,3127) = 9756240

LCM Calculator and
and

Least Common Multiple of 3120 and 3127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3120 and 3127, than apply into the LCM equation.

GCF(3120,3127) = 1
LCM(3120,3127) = ( 3120 × 3127) / 1
LCM(3120,3127) = 9756240 / 1
LCM(3120,3127) = 9756240

Least Common Multiple (LCM) of 3120 and 3127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3120 and 3127. First we will calculate the prime factors of 3120 and 3127.

Prime Factorization of 3120

Prime factors of 3120 are 2, 3, 5, 13. Prime factorization of 3120 in exponential form is:

3120 = 24 × 31 × 51 × 131

Prime Factorization of 3127

Prime factors of 3127 are 53, 59. Prime factorization of 3127 in exponential form is:

3127 = 531 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 3120 and 3127.

LCM(3120,3127) = 24 × 31 × 51 × 131 × 531 × 591
LCM(3120,3127) = 9756240