What is the Least Common Multiple of 94947 and 94959?

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 94947 and 94959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94947 and 94959, than apply into the LCM equation.

GCF(94947,94959) = 3
LCM(94947,94959) = ( 94947 × 94959) / 3
LCM(94947,94959) = 9016072173 / 3
LCM(94947,94959) = 3005357391

Least Common Multiple (LCM) of 94947 and 94959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94947 and 94959. First we will calculate the prime factors of 94947 and 94959.

Prime Factorization of 94947

Prime Factorization of 94959

Now multiplying the highest exponent prime factors to calculate the LCM of 94947 and 94959.

LCM(94947,94959) = 3³ × 31649¹ × 3517¹
LCM(94947,94959) = 3005357391