What is the Least Common Multiple of 85248 and 85264?

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 85248 and 85264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85248 and 85264, than apply into the LCM equation.

GCF(85248,85264) = 16
LCM(85248,85264) = ( 85248 × 85264) / 16
LCM(85248,85264) = 7268585472 / 16
LCM(85248,85264) = 454286592

Least Common Multiple (LCM) of 85248 and 85264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85248 and 85264. First we will calculate the prime factors of 85248 and 85264.

Prime Factorization of 85248

Prime Factorization of 85264

Now multiplying the highest exponent prime factors to calculate the LCM of 85248 and 85264.

LCM(85248,85264) = 2⁸ × 3² × 37¹ × 73²
LCM(85248,85264) = 454286592