What is the Least Common Multiple of 94563 and 94578?

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 94563 and 94578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94563 and 94578, than apply into the LCM equation.

GCF(94563,94578) = 3
LCM(94563,94578) = ( 94563 × 94578) / 3
LCM(94563,94578) = 8943579414 / 3
LCM(94563,94578) = 2981193138

Least Common Multiple (LCM) of 94563 and 94578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94563 and 94578. First we will calculate the prime factors of 94563 and 94578.

Prime Factorization of 94563

Prime Factorization of 94578

Now multiplying the highest exponent prime factors to calculate the LCM of 94563 and 94578.

LCM(94563,94578) = 3² × 7¹ × 19¹ × 79¹ × 2¹ × 11¹ × 1433¹
LCM(94563,94578) = 2981193138