What is the Least Common Multiple of 94146 and 94161?

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 94146 and 94161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94146 and 94161, than apply into the LCM equation.

GCF(94146,94161) = 3
LCM(94146,94161) = ( 94146 × 94161) / 3
LCM(94146,94161) = 8864881506 / 3
LCM(94146,94161) = 2954960502

Least Common Multiple (LCM) of 94146 and 94161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94146 and 94161. First we will calculate the prime factors of 94146 and 94161.

Prime Factorization of 94146

Prime Factorization of 94161

Now multiplying the highest exponent prime factors to calculate the LCM of 94146 and 94161.

LCM(94146,94161) = 2¹ × 3¹ × 13¹ × 17¹ × 71¹ × 31387¹
LCM(94146,94161) = 2954960502