What is the Least Common Multiple of 42894 and 42912?

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 42894 and 42912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42894 and 42912, than apply into the LCM equation.

GCF(42894,42912) = 18
LCM(42894,42912) = ( 42894 × 42912) / 18
LCM(42894,42912) = 1840667328 / 18
LCM(42894,42912) = 102259296

Least Common Multiple (LCM) of 42894 and 42912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42894 and 42912. First we will calculate the prime factors of 42894 and 42912.

Prime Factorization of 42894

Prime Factorization of 42912

Now multiplying the highest exponent prime factors to calculate the LCM of 42894 and 42912.

LCM(42894,42912) = 2⁵ × 3² × 2383¹ × 149¹
LCM(42894,42912) = 102259296