What is the Least Common Multiple of 94816 and 94833?

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 94816 and 94833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94816 and 94833, than apply into the LCM equation.

GCF(94816,94833) = 1
LCM(94816,94833) = ( 94816 × 94833) / 1
LCM(94816,94833) = 8991685728 / 1
LCM(94816,94833) = 8991685728

Least Common Multiple (LCM) of 94816 and 94833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94816 and 94833. First we will calculate the prime factors of 94816 and 94833.

Prime Factorization of 94816

Prime Factorization of 94833

Now multiplying the highest exponent prime factors to calculate the LCM of 94816 and 94833.

LCM(94816,94833) = 2⁵ × 2963¹ × 3² × 41¹ × 257¹
LCM(94816,94833) = 8991685728