What is the Least Common Multiple of 94719 and 94737?

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 94719 and 94737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94719 and 94737, than apply into the LCM equation.

GCF(94719,94737) = 3
LCM(94719,94737) = ( 94719 × 94737) / 3
LCM(94719,94737) = 8973393903 / 3
LCM(94719,94737) = 2991131301

Least Common Multiple (LCM) of 94719 and 94737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94719 and 94737. First we will calculate the prime factors of 94719 and 94737.

Prime Factorization of 94719

Prime Factorization of 94737

Now multiplying the highest exponent prime factors to calculate the LCM of 94719 and 94737.

LCM(94719,94737) = 3¹ × 31573¹ × 23¹ × 1373¹
LCM(94719,94737) = 2991131301