What is the Least Common Multiple of 87604 and 87619?

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 87604 and 87619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87604 and 87619, than apply into the LCM equation.

GCF(87604,87619) = 1
LCM(87604,87619) = ( 87604 × 87619) / 1
LCM(87604,87619) = 7675774876 / 1
LCM(87604,87619) = 7675774876

Least Common Multiple (LCM) of 87604 and 87619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87604 and 87619. First we will calculate the prime factors of 87604 and 87619.

Prime Factorization of 87604

Prime Factorization of 87619

Now multiplying the highest exponent prime factors to calculate the LCM of 87604 and 87619.

LCM(87604,87619) = 2² × 11² × 181¹ × 7¹ × 12517¹
LCM(87604,87619) = 7675774876