What is the Least Common Multiple of 87586 and 87604?

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 87586 and 87604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87586 and 87604, than apply into the LCM equation.

GCF(87586,87604) = 2
LCM(87586,87604) = ( 87586 × 87604) / 2
LCM(87586,87604) = 7672883944 / 2
LCM(87586,87604) = 3836441972

Least Common Multiple (LCM) of 87586 and 87604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87586 and 87604. First we will calculate the prime factors of 87586 and 87604.

Prime Factorization of 87586

Prime Factorization of 87604

Now multiplying the highest exponent prime factors to calculate the LCM of 87586 and 87604.

LCM(87586,87604) = 2² × 43793¹ × 11² × 181¹
LCM(87586,87604) = 3836441972