What is the Least Common Multiple of 87072 and 87081?

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 87072 and 87081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87072 and 87081, than apply into the LCM equation.

GCF(87072,87081) = 3
LCM(87072,87081) = ( 87072 × 87081) / 3
LCM(87072,87081) = 7582316832 / 3
LCM(87072,87081) = 2527438944

Least Common Multiple (LCM) of 87072 and 87081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87072 and 87081. First we will calculate the prime factors of 87072 and 87081.

Prime Factorization of 87072

Prime Factorization of 87081

Now multiplying the highest exponent prime factors to calculate the LCM of 87072 and 87081.

LCM(87072,87081) = 2⁵ × 3¹ × 907¹ × 29027¹
LCM(87072,87081) = 2527438944