GCF and LCM Calculator Logo

What is the Least Common Multiple of 30156 and 30165?

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 30156 and 30165 is 303218580.

LCM(30156,30165) = 303218580

LCM Calculator and
and

Least Common Multiple of 30156 and 30165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30156 and 30165, than apply into the LCM equation.

GCF(30156,30165) = 3
LCM(30156,30165) = ( 30156 × 30165) / 3
LCM(30156,30165) = 909655740 / 3
LCM(30156,30165) = 303218580

Least Common Multiple (LCM) of 30156 and 30165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30156 and 30165. First we will calculate the prime factors of 30156 and 30165.

Prime Factorization of 30156

Prime factors of 30156 are 2, 3, 7, 359. Prime factorization of 30156 in exponential form is:

30156 = 22 × 31 × 71 × 3591

Prime Factorization of 30165

Prime factors of 30165 are 3, 5, 2011. Prime factorization of 30165 in exponential form is:

30165 = 31 × 51 × 20111

Now multiplying the highest exponent prime factors to calculate the LCM of 30156 and 30165.

LCM(30156,30165) = 22 × 31 × 71 × 3591 × 51 × 20111
LCM(30156,30165) = 303218580