What is the Least Common Multiple of 94148 and 94168?

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 94148 and 94168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94148 and 94168, than apply into the LCM equation.

GCF(94148,94168) = 4
LCM(94148,94168) = ( 94148 × 94168) / 4
LCM(94148,94168) = 8865728864 / 4
LCM(94148,94168) = 2216432216

Least Common Multiple (LCM) of 94148 and 94168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94148 and 94168. First we will calculate the prime factors of 94148 and 94168.

Prime Factorization of 94148

Prime Factorization of 94168

Now multiplying the highest exponent prime factors to calculate the LCM of 94148 and 94168.

LCM(94148,94168) = 2³ × 23537¹ × 79¹ × 149¹
LCM(94148,94168) = 2216432216