What is the Least Common Multiple of 87596 and 87612?

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 87596 and 87612 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87596 and 87612, than apply into the LCM equation.

GCF(87596,87612) = 4
LCM(87596,87612) = ( 87596 × 87612) / 4
LCM(87596,87612) = 7674460752 / 4
LCM(87596,87612) = 1918615188

Least Common Multiple (LCM) of 87596 and 87612 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87596 and 87612. First we will calculate the prime factors of 87596 and 87612.

Prime Factorization of 87596

Prime Factorization of 87612

Now multiplying the highest exponent prime factors to calculate the LCM of 87596 and 87612.

LCM(87596,87612) = 2² × 61¹ × 359¹ × 3¹ × 7² × 149¹
LCM(87596,87612) = 1918615188