What is the Least Common Multiple of 94164 and 94176?

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 94164 and 94176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94164 and 94176, than apply into the LCM equation.

GCF(94164,94176) = 12
LCM(94164,94176) = ( 94164 × 94176) / 12
LCM(94164,94176) = 8867988864 / 12
LCM(94164,94176) = 738999072

Least Common Multiple (LCM) of 94164 and 94176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94164 and 94176. First we will calculate the prime factors of 94164 and 94176.

Prime Factorization of 94164

Prime Factorization of 94176

Now multiplying the highest exponent prime factors to calculate the LCM of 94164 and 94176.

LCM(94164,94176) = 2⁵ × 3³ × 7¹ × 19¹ × 59¹ × 109¹
LCM(94164,94176) = 738999072