What is the Least Common Multiple of 94176 and 94192?

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 94176 and 94192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94176 and 94192, than apply into the LCM equation.

GCF(94176,94192) = 16
LCM(94176,94192) = ( 94176 × 94192) / 16
LCM(94176,94192) = 8870625792 / 16
LCM(94176,94192) = 554414112

Least Common Multiple (LCM) of 94176 and 94192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94176 and 94192. First we will calculate the prime factors of 94176 and 94192.

Prime Factorization of 94176

Prime Factorization of 94192

Now multiplying the highest exponent prime factors to calculate the LCM of 94176 and 94192.

LCM(94176,94192) = 2⁵ × 3³ × 109¹ × 7¹ × 29²
LCM(94176,94192) = 554414112