What is the Least Common Multiple of 94944 and 94962?

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 94944 and 94962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94944 and 94962, than apply into the LCM equation.

GCF(94944,94962) = 6
LCM(94944,94962) = ( 94944 × 94962) / 6
LCM(94944,94962) = 9016072128 / 6
LCM(94944,94962) = 1502678688

Least Common Multiple (LCM) of 94944 and 94962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94944 and 94962. First we will calculate the prime factors of 94944 and 94962.

Prime Factorization of 94944

Prime Factorization of 94962

Now multiplying the highest exponent prime factors to calculate the LCM of 94944 and 94962.

LCM(94944,94962) = 2⁵ × 3¹ × 23¹ × 43¹ × 7² × 17¹ × 19¹
LCM(94944,94962) = 1502678688