What is the Least Common Multiple of 94272 and 94287?

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 94272 and 94287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94272 and 94287, than apply into the LCM equation.

GCF(94272,94287) = 3
LCM(94272,94287) = ( 94272 × 94287) / 3
LCM(94272,94287) = 8888624064 / 3
LCM(94272,94287) = 2962874688

Least Common Multiple (LCM) of 94272 and 94287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94272 and 94287. First we will calculate the prime factors of 94272 and 94287.

Prime Factorization of 94272

Prime Factorization of 94287

Now multiplying the highest exponent prime factors to calculate the LCM of 94272 and 94287.

LCM(94272,94287) = 2⁶ × 3¹ × 491¹ × 53¹ × 593¹
LCM(94272,94287) = 2962874688