What is the Least Common Multiple of 85512 and 85521?

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 85512 and 85521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85512 and 85521, than apply into the LCM equation.

GCF(85512,85521) = 3
LCM(85512,85521) = ( 85512 × 85521) / 3
LCM(85512,85521) = 7313071752 / 3
LCM(85512,85521) = 2437690584

Least Common Multiple (LCM) of 85512 and 85521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85512 and 85521. First we will calculate the prime factors of 85512 and 85521.

Prime Factorization of 85512

Prime Factorization of 85521

Now multiplying the highest exponent prime factors to calculate the LCM of 85512 and 85521.

LCM(85512,85521) = 2³ × 3¹ × 7¹ × 509¹ × 29¹ × 983¹
LCM(85512,85521) = 2437690584