What is the Least Common Multiple of 21675 and 21687?

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 21675 and 21687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21675 and 21687, than apply into the LCM equation.

GCF(21675,21687) = 3
LCM(21675,21687) = ( 21675 × 21687) / 3
LCM(21675,21687) = 470065725 / 3
LCM(21675,21687) = 156688575

Least Common Multiple (LCM) of 21675 and 21687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21675 and 21687. First we will calculate the prime factors of 21675 and 21687.

Prime Factorization of 21675

Prime Factorization of 21687

Now multiplying the highest exponent prime factors to calculate the LCM of 21675 and 21687.

LCM(21675,21687) = 3¹ × 5² × 17² × 7229¹
LCM(21675,21687) = 156688575