What is the Least Common Multiple of 94932 and 94947?

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 94932 and 94947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94932 and 94947, than apply into the LCM equation.

GCF(94932,94947) = 3
LCM(94932,94947) = ( 94932 × 94947) / 3
LCM(94932,94947) = 9013508604 / 3
LCM(94932,94947) = 3004502868

Least Common Multiple (LCM) of 94932 and 94947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94932 and 94947. First we will calculate the prime factors of 94932 and 94947.

Prime Factorization of 94932

Prime Factorization of 94947

Now multiplying the highest exponent prime factors to calculate the LCM of 94932 and 94947.

LCM(94932,94947) = 2² × 3⁴ × 293¹ × 31649¹
LCM(94932,94947) = 3004502868