What is the Least Common Multiple of 87165 and 87171?

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 87165 and 87171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87165 and 87171, than apply into the LCM equation.

GCF(87165,87171) = 3
LCM(87165,87171) = ( 87165 × 87171) / 3
LCM(87165,87171) = 7598260215 / 3
LCM(87165,87171) = 2532753405

Least Common Multiple (LCM) of 87165 and 87171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87165 and 87171. First we will calculate the prime factors of 87165 and 87171.

Prime Factorization of 87165

Prime Factorization of 87171

Now multiplying the highest exponent prime factors to calculate the LCM of 87165 and 87171.

LCM(87165,87171) = 3² × 5¹ × 13¹ × 149¹ × 7² × 593¹
LCM(87165,87171) = 2532753405