What is the Least Common Multiple of 87564 and 87568?

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 87564 and 87568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87564 and 87568, than apply into the LCM equation.

GCF(87564,87568) = 4
LCM(87564,87568) = ( 87564 × 87568) / 4
LCM(87564,87568) = 7667804352 / 4
LCM(87564,87568) = 1916951088

Least Common Multiple (LCM) of 87564 and 87568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87564 and 87568. First we will calculate the prime factors of 87564 and 87568.

Prime Factorization of 87564

Prime Factorization of 87568

Now multiplying the highest exponent prime factors to calculate the LCM of 87564 and 87568.

LCM(87564,87568) = 2⁴ × 3¹ × 7297¹ × 13¹ × 421¹
LCM(87564,87568) = 1916951088