What is the Least Common Multiple of 94928 and 94944?

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 94928 and 94944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94928 and 94944, than apply into the LCM equation.

GCF(94928,94944) = 16
LCM(94928,94944) = ( 94928 × 94944) / 16
LCM(94928,94944) = 9012844032 / 16
LCM(94928,94944) = 563302752

Least Common Multiple (LCM) of 94928 and 94944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94928 and 94944. First we will calculate the prime factors of 94928 and 94944.

Prime Factorization of 94928

Prime Factorization of 94944

Now multiplying the highest exponent prime factors to calculate the LCM of 94928 and 94944.

LCM(94928,94944) = 2⁵ × 17¹ × 349¹ × 3¹ × 23¹ × 43¹
LCM(94928,94944) = 563302752