What is the Least Common Multiple of 87568 and 87581?

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 87568 and 87581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87568 and 87581, than apply into the LCM equation.

GCF(87568,87581) = 13
LCM(87568,87581) = ( 87568 × 87581) / 13
LCM(87568,87581) = 7669293008 / 13
LCM(87568,87581) = 589945616

Least Common Multiple (LCM) of 87568 and 87581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87568 and 87581. First we will calculate the prime factors of 87568 and 87581.

Prime Factorization of 87568

Prime Factorization of 87581

Now multiplying the highest exponent prime factors to calculate the LCM of 87568 and 87581.

LCM(87568,87581) = 2⁴ × 13¹ × 421¹ × 6737¹
LCM(87568,87581) = 589945616