What is the Least Common Multiple of 89568 and 89574?

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 89568 and 89574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89568 and 89574, than apply into the LCM equation.

GCF(89568,89574) = 6
LCM(89568,89574) = ( 89568 × 89574) / 6
LCM(89568,89574) = 8022964032 / 6
LCM(89568,89574) = 1337160672

Least Common Multiple (LCM) of 89568 and 89574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89568 and 89574. First we will calculate the prime factors of 89568 and 89574.

Prime Factorization of 89568

Prime Factorization of 89574

Now multiplying the highest exponent prime factors to calculate the LCM of 89568 and 89574.

LCM(89568,89574) = 2⁵ × 3² × 311¹ × 14929¹
LCM(89568,89574) = 1337160672