What is the Least Common Multiple of 3165 and 3171?

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 3171 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 3171, than apply into the LCM equation.

GCF(3165,3171) = 3
LCM(3165,3171) = ( 3165 × 3171) / 3
LCM(3165,3171) = 10036215 / 3
LCM(3165,3171) = 3345405

Least Common Multiple (LCM) of 3165 and 3171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3165 and 3171. First we will calculate the prime factors of 3165 and 3171.

Prime Factorization of 3165

Prime Factorization of 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 3165 and 3171.

LCM(3165,3171) = 3¹ × 5¹ × 211¹ × 7¹ × 151¹
LCM(3165,3171) = 3345405