What is the Least Common Multiple of 3150 and 3165?

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 of 3150 and 3165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3150 and 3165, than apply into the LCM equation.

GCF(3150,3165) = 15
LCM(3150,3165) = ( 3150 × 3165) / 15
LCM(3150,3165) = 9969750 / 15
LCM(3150,3165) = 664650

Least Common Multiple (LCM) of 3150 and 3165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3150 and 3165. First we will calculate the prime factors of 3150 and 3165.

Prime Factorization of 3150

Prime Factorization of 3165

Now multiplying the highest exponent prime factors to calculate the LCM of 3150 and 3165.

LCM(3150,3165) = 2¹ × 3² × 5² × 7¹ × 211¹
LCM(3150,3165) = 664650