What is the Least Common Multiple of 85524 and 85536?

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 85524 and 85536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85524 and 85536, than apply into the LCM equation.

GCF(85524,85536) = 12
LCM(85524,85536) = ( 85524 × 85536) / 12
LCM(85524,85536) = 7315380864 / 12
LCM(85524,85536) = 609615072

Least Common Multiple (LCM) of 85524 and 85536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85524 and 85536. First we will calculate the prime factors of 85524 and 85536.

Prime Factorization of 85524

Prime Factorization of 85536

Now multiplying the highest exponent prime factors to calculate the LCM of 85524 and 85536.

LCM(85524,85536) = 2⁵ × 3⁵ × 7127¹ × 11¹
LCM(85524,85536) = 609615072