What is the Least Common Multiple of 94014 and 94032?

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 94014 and 94032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94014 and 94032, than apply into the LCM equation.

GCF(94014,94032) = 18
LCM(94014,94032) = ( 94014 × 94032) / 18
LCM(94014,94032) = 8840324448 / 18
LCM(94014,94032) = 491129136

Least Common Multiple (LCM) of 94014 and 94032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94014 and 94032. First we will calculate the prime factors of 94014 and 94032.

Prime Factorization of 94014

Prime Factorization of 94032

Now multiplying the highest exponent prime factors to calculate the LCM of 94014 and 94032.

LCM(94014,94032) = 2⁴ × 3³ × 1741¹ × 653¹
LCM(94014,94032) = 491129136