What is the Least Common Multiple of 94032 and 94042?

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 94032 and 94042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94032 and 94042, than apply into the LCM equation.

GCF(94032,94042) = 2
LCM(94032,94042) = ( 94032 × 94042) / 2
LCM(94032,94042) = 8842957344 / 2
LCM(94032,94042) = 4421478672

Least Common Multiple (LCM) of 94032 and 94042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94032 and 94042. First we will calculate the prime factors of 94032 and 94042.

Prime Factorization of 94032

Prime Factorization of 94042

Now multiplying the highest exponent prime factors to calculate the LCM of 94032 and 94042.

LCM(94032,94042) = 2⁴ × 3² × 653¹ × 13¹ × 3617¹
LCM(94032,94042) = 4421478672