What is the Least Common Multiple of 72171 and 72189?

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 72171 and 72189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72171 and 72189, than apply into the LCM equation.

GCF(72171,72189) = 9
LCM(72171,72189) = ( 72171 × 72189) / 9
LCM(72171,72189) = 5209952319 / 9
LCM(72171,72189) = 578883591

Least Common Multiple (LCM) of 72171 and 72189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72171 and 72189. First we will calculate the prime factors of 72171 and 72189.

Prime Factorization of 72171

Prime Factorization of 72189

Now multiplying the highest exponent prime factors to calculate the LCM of 72171 and 72189.

LCM(72171,72189) = 3⁸ × 11¹ × 13¹ × 617¹
LCM(72171,72189) = 578883591