GCF and LCM Calculator Logo

What is the Least Common Multiple of 3108 and 3117?

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 3108 and 3117 is 3229212.

LCM(3108,3117) = 3229212

LCM Calculator and
and

Least Common Multiple of 3108 and 3117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3108 and 3117, than apply into the LCM equation.

GCF(3108,3117) = 3
LCM(3108,3117) = ( 3108 × 3117) / 3
LCM(3108,3117) = 9687636 / 3
LCM(3108,3117) = 3229212

Least Common Multiple (LCM) of 3108 and 3117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3108 and 3117. First we will calculate the prime factors of 3108 and 3117.

Prime Factorization of 3108

Prime factors of 3108 are 2, 3, 7, 37. Prime factorization of 3108 in exponential form is:

3108 = 22 × 31 × 71 × 371

Prime Factorization of 3117

Prime factors of 3117 are 3, 1039. Prime factorization of 3117 in exponential form is:

3117 = 31 × 10391

Now multiplying the highest exponent prime factors to calculate the LCM of 3108 and 3117.

LCM(3108,3117) = 22 × 31 × 71 × 371 × 10391
LCM(3108,3117) = 3229212