What is the Least Common Multiple of 94100 and 94114?

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 94100 and 94114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94100 and 94114, than apply into the LCM equation.

GCF(94100,94114) = 2
LCM(94100,94114) = ( 94100 × 94114) / 2
LCM(94100,94114) = 8856127400 / 2
LCM(94100,94114) = 4428063700

Least Common Multiple (LCM) of 94100 and 94114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94100 and 94114. First we will calculate the prime factors of 94100 and 94114.

Prime Factorization of 94100

Prime Factorization of 94114

Now multiplying the highest exponent prime factors to calculate the LCM of 94100 and 94114.

LCM(94100,94114) = 2² × 5² × 941¹ × 47057¹
LCM(94100,94114) = 4428063700