What is the Least Common Multiple of 3165 and 3177?

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 3165 and 3177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3165 and 3177, than apply into the LCM equation.

GCF(3165,3177) = 3
LCM(3165,3177) = ( 3165 × 3177) / 3
LCM(3165,3177) = 10055205 / 3
LCM(3165,3177) = 3351735

Least Common Multiple (LCM) of 3165 and 3177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3165 and 3177. First we will calculate the prime factors of 3165 and 3177.

Prime Factorization of 3165

Prime Factorization of 3177

Now multiplying the highest exponent prime factors to calculate the LCM of 3165 and 3177.

LCM(3165,3177) = 3² × 5¹ × 211¹ × 353¹
LCM(3165,3177) = 3351735