What is the Least Common Multiple of 87630 and 87645?

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 87630 and 87645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87630 and 87645, than apply into the LCM equation.

GCF(87630,87645) = 15
LCM(87630,87645) = ( 87630 × 87645) / 15
LCM(87630,87645) = 7680331350 / 15
LCM(87630,87645) = 512022090

Least Common Multiple (LCM) of 87630 and 87645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87630 and 87645. First we will calculate the prime factors of 87630 and 87645.

Prime Factorization of 87630

Prime Factorization of 87645

Now multiplying the highest exponent prime factors to calculate the LCM of 87630 and 87645.

LCM(87630,87645) = 2¹ × 3¹ × 5¹ × 23¹ × 127¹ × 5843¹
LCM(87630,87645) = 512022090