What is the Least Common Multiple of 94696 and 94700?

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 94696 and 94700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94696 and 94700, than apply into the LCM equation.

GCF(94696,94700) = 4
LCM(94696,94700) = ( 94696 × 94700) / 4
LCM(94696,94700) = 8967711200 / 4
LCM(94696,94700) = 2241927800

Least Common Multiple (LCM) of 94696 and 94700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94696 and 94700. First we will calculate the prime factors of 94696 and 94700.

Prime Factorization of 94696

Prime Factorization of 94700

Now multiplying the highest exponent prime factors to calculate the LCM of 94696 and 94700.

LCM(94696,94700) = 2³ × 7¹ × 19¹ × 89¹ × 5² × 947¹
LCM(94696,94700) = 2241927800