What is the Least Common Multiple of 85600 and 85615?

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 85615 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 85615, than apply into the LCM equation.

GCF(85600,85615) = 5
LCM(85600,85615) = ( 85600 × 85615) / 5
LCM(85600,85615) = 7328644000 / 5
LCM(85600,85615) = 1465728800

Least Common Multiple (LCM) of 85600 and 85615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85600 and 85615. First we will calculate the prime factors of 85600 and 85615.

Prime Factorization of 85600

Prime Factorization of 85615

Now multiplying the highest exponent prime factors to calculate the LCM of 85600 and 85615.

LCM(85600,85615) = 2⁵ × 5² × 107¹ × 17123¹
LCM(85600,85615) = 1465728800