What is the Least Common Multiple of 94676 and 94692?

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 94676 and 94692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94676 and 94692, than apply into the LCM equation.

GCF(94676,94692) = 4
LCM(94676,94692) = ( 94676 × 94692) / 4
LCM(94676,94692) = 8965059792 / 4
LCM(94676,94692) = 2241264948

Least Common Multiple (LCM) of 94676 and 94692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94676 and 94692. First we will calculate the prime factors of 94676 and 94692.

Prime Factorization of 94676

Prime Factorization of 94692

Now multiplying the highest exponent prime factors to calculate the LCM of 94676 and 94692.

LCM(94676,94692) = 2² × 23669¹ × 3¹ × 13¹ × 607¹
LCM(94676,94692) = 2241264948