What is the Least Common Multiple of 94866 and 94876?

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 94866 and 94876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94866 and 94876, than apply into the LCM equation.

GCF(94866,94876) = 2
LCM(94866,94876) = ( 94866 × 94876) / 2
LCM(94866,94876) = 9000506616 / 2
LCM(94866,94876) = 4500253308

Least Common Multiple (LCM) of 94866 and 94876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94866 and 94876. First we will calculate the prime factors of 94866 and 94876.

Prime Factorization of 94866

Prime Factorization of 94876

Now multiplying the highest exponent prime factors to calculate the LCM of 94866 and 94876.

LCM(94866,94876) = 2² × 3¹ × 97¹ × 163¹ × 23719¹
LCM(94866,94876) = 4500253308