What is the Least Common Multiple of 94176 and 94180?

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 94180 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 94180, than apply into the LCM equation.

GCF(94176,94180) = 4
LCM(94176,94180) = ( 94176 × 94180) / 4
LCM(94176,94180) = 8869495680 / 4
LCM(94176,94180) = 2217373920

Least Common Multiple (LCM) of 94176 and 94180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94176 and 94180. First we will calculate the prime factors of 94176 and 94180.

Prime Factorization of 94176

Prime Factorization of 94180

Now multiplying the highest exponent prime factors to calculate the LCM of 94176 and 94180.

LCM(94176,94180) = 2⁵ × 3³ × 109¹ × 5¹ × 17¹ × 277¹
LCM(94176,94180) = 2217373920