What is the Least Common Multiple of 85600 and 85619?

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 85600 and 85619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85600 and 85619, than apply into the LCM equation.

GCF(85600,85619) = 1
LCM(85600,85619) = ( 85600 × 85619) / 1
LCM(85600,85619) = 7328986400 / 1
LCM(85600,85619) = 7328986400

Least Common Multiple (LCM) of 85600 and 85619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85600 and 85619. First we will calculate the prime factors of 85600 and 85619.

Prime Factorization of 85600

Prime Factorization of 85619

Now multiplying the highest exponent prime factors to calculate the LCM of 85600 and 85619.

LCM(85600,85619) = 2⁵ × 5² × 107¹ × 85619¹
LCM(85600,85619) = 7328986400