What is the Least Common Multiple of 94092 and 94108?

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 94092 and 94108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94092 and 94108, than apply into the LCM equation.

GCF(94092,94108) = 4
LCM(94092,94108) = ( 94092 × 94108) / 4
LCM(94092,94108) = 8854809936 / 4
LCM(94092,94108) = 2213702484

Least Common Multiple (LCM) of 94092 and 94108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94092 and 94108. First we will calculate the prime factors of 94092 and 94108.

Prime Factorization of 94092

Prime Factorization of 94108

Now multiplying the highest exponent prime factors to calculate the LCM of 94092 and 94108.

LCM(94092,94108) = 2² × 3¹ × 7841¹ × 7¹ × 3361¹
LCM(94092,94108) = 2213702484