What is the Least Common Multiple of 87570 and 87576?

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 87570 and 87576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87570 and 87576, than apply into the LCM equation.

GCF(87570,87576) = 6
LCM(87570,87576) = ( 87570 × 87576) / 6
LCM(87570,87576) = 7669030320 / 6
LCM(87570,87576) = 1278171720

Least Common Multiple (LCM) of 87570 and 87576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87570 and 87576. First we will calculate the prime factors of 87570 and 87576.

Prime Factorization of 87570

Prime Factorization of 87576

Now multiplying the highest exponent prime factors to calculate the LCM of 87570 and 87576.

LCM(87570,87576) = 2³ × 3² × 5¹ × 7¹ × 139¹ × 41¹ × 89¹
LCM(87570,87576) = 1278171720