What is the Least Common Multiple of 85608 and 85628?

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 85608 and 85628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85608 and 85628, than apply into the LCM equation.

GCF(85608,85628) = 4
LCM(85608,85628) = ( 85608 × 85628) / 4
LCM(85608,85628) = 7330441824 / 4
LCM(85608,85628) = 1832610456

Least Common Multiple (LCM) of 85608 and 85628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85608 and 85628. First we will calculate the prime factors of 85608 and 85628.

Prime Factorization of 85608

Prime Factorization of 85628

Now multiplying the highest exponent prime factors to calculate the LCM of 85608 and 85628.

LCM(85608,85628) = 2³ × 3² × 29¹ × 41¹ × 21407¹
LCM(85608,85628) = 1832610456