What is the Least Common Multiple of 94170 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 94170 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 94170 and 94176, than apply into the LCM equation.

GCF(94170,94176) = 6
LCM(94170,94176) = ( 94170 × 94176) / 6
LCM(94170,94176) = 8868553920 / 6
LCM(94170,94176) = 1478092320

Least Common Multiple (LCM) of 94170 and 94176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94170 and 94176. First we will calculate the prime factors of 94170 and 94176.

Prime Factorization of 94170

Prime Factorization of 94176

Now multiplying the highest exponent prime factors to calculate the LCM of 94170 and 94176.

LCM(94170,94176) = 2⁵ × 3³ × 5¹ × 43¹ × 73¹ × 109¹
LCM(94170,94176) = 1478092320