What is the Least Common Multiple of 87645 and 87663?

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 87645 and 87663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87645 and 87663, than apply into the LCM equation.

GCF(87645,87663) = 3
LCM(87645,87663) = ( 87645 × 87663) / 3
LCM(87645,87663) = 7683223635 / 3
LCM(87645,87663) = 2561074545

Least Common Multiple (LCM) of 87645 and 87663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87645 and 87663. First we will calculate the prime factors of 87645 and 87663.

Prime Factorization of 87645

Prime Factorization of 87663

Now multiplying the highest exponent prime factors to calculate the LCM of 87645 and 87663.

LCM(87645,87663) = 3¹ × 5¹ × 5843¹ × 29221¹
LCM(87645,87663) = 2561074545