What is the Least Common Multiple of 85392 and 85408?

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 85392 and 85408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85392 and 85408, than apply into the LCM equation.

GCF(85392,85408) = 16
LCM(85392,85408) = ( 85392 × 85408) / 16
LCM(85392,85408) = 7293159936 / 16
LCM(85392,85408) = 455822496

Least Common Multiple (LCM) of 85392 and 85408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85392 and 85408. First we will calculate the prime factors of 85392 and 85408.

Prime Factorization of 85392

Prime Factorization of 85408

Now multiplying the highest exponent prime factors to calculate the LCM of 85392 and 85408.

LCM(85392,85408) = 2⁵ × 3² × 593¹ × 17¹ × 157¹
LCM(85392,85408) = 455822496