What is the Least Common Multiple of 87624 and 87628?

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 87628 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 87628, than apply into the LCM equation.

GCF(87624,87628) = 4
LCM(87624,87628) = ( 87624 × 87628) / 4
LCM(87624,87628) = 7678315872 / 4
LCM(87624,87628) = 1919578968

Least Common Multiple (LCM) of 87624 and 87628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87624 and 87628. First we will calculate the prime factors of 87624 and 87628.

Prime Factorization of 87624

Prime Factorization of 87628

Now multiplying the highest exponent prime factors to calculate the LCM of 87624 and 87628.

LCM(87624,87628) = 2³ × 3² × 1217¹ × 19¹ × 1153¹
LCM(87624,87628) = 1919578968