What is the Least Common Multiple of 87624 and 87633?

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 87624 and 87633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87624 and 87633, than apply into the LCM equation.

GCF(87624,87633) = 9
LCM(87624,87633) = ( 87624 × 87633) / 9
LCM(87624,87633) = 7678753992 / 9
LCM(87624,87633) = 853194888

Least Common Multiple (LCM) of 87624 and 87633 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87624 and 87633. First we will calculate the prime factors of 87624 and 87633.

Prime Factorization of 87624

Prime Factorization of 87633

Now multiplying the highest exponent prime factors to calculate the LCM of 87624 and 87633.

LCM(87624,87633) = 2³ × 3² × 1217¹ × 7¹ × 13¹ × 107¹
LCM(87624,87633) = 853194888