What is the Least Common Multiple of 87588 and 87607?

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 87588 and 87607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87588 and 87607, than apply into the LCM equation.

GCF(87588,87607) = 1
LCM(87588,87607) = ( 87588 × 87607) / 1
LCM(87588,87607) = 7673321916 / 1
LCM(87588,87607) = 7673321916

Least Common Multiple (LCM) of 87588 and 87607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87588 and 87607. First we will calculate the prime factors of 87588 and 87607.

Prime Factorization of 87588

Prime Factorization of 87607

Now multiplying the highest exponent prime factors to calculate the LCM of 87588 and 87607.

LCM(87588,87607) = 2² × 3³ × 811¹ × 13¹ × 23¹ × 293¹
LCM(87588,87607) = 7673321916