GCF and LCM Calculator Logo

What is the Least Common Multiple of 94719 and 94736?

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 (LCM) of 94719 and 94736 is 8973299184.

LCM(94719,94736) = 8973299184

LCM Calculator and
and

Least Common Multiple of 94719 and 94736 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 94736, than apply into the LCM equation.

GCF(94719,94736) = 1
LCM(94719,94736) = ( 94719 × 94736) / 1
LCM(94719,94736) = 8973299184 / 1
LCM(94719,94736) = 8973299184

Least Common Multiple (LCM) of 94719 and 94736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94719 and 94736. First we will calculate the prime factors of 94719 and 94736.

Prime Factorization of 94719

Prime factors of 94719 are 3, 31573. Prime factorization of 94719 in exponential form is:

94719 = 31 × 315731

Prime Factorization of 94736

Prime factors of 94736 are 2, 31, 191. Prime factorization of 94736 in exponential form is:

94736 = 24 × 311 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 94719 and 94736.

LCM(94719,94736) = 31 × 315731 × 24 × 311 × 1911
LCM(94719,94736) = 8973299184