What is the Least Common Multiple of 94812 and 94816?

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 94812 and 94816 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94812 and 94816, than apply into the LCM equation.

GCF(94812,94816) = 4
LCM(94812,94816) = ( 94812 × 94816) / 4
LCM(94812,94816) = 8989694592 / 4
LCM(94812,94816) = 2247423648

Least Common Multiple (LCM) of 94812 and 94816 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94812 and 94816. First we will calculate the prime factors of 94812 and 94816.

Prime Factorization of 94812

Prime Factorization of 94816

Now multiplying the highest exponent prime factors to calculate the LCM of 94812 and 94816.

LCM(94812,94816) = 2⁵ × 3¹ × 7901¹ × 2963¹
LCM(94812,94816) = 2247423648