What is the Least Common Multiple of 94272 and 94288?

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 94288 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 94288, than apply into the LCM equation.

GCF(94272,94288) = 16
LCM(94272,94288) = ( 94272 × 94288) / 16
LCM(94272,94288) = 8888718336 / 16
LCM(94272,94288) = 555544896

Least Common Multiple (LCM) of 94272 and 94288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94272 and 94288. First we will calculate the prime factors of 94272 and 94288.

Prime Factorization of 94272

Prime Factorization of 94288

Now multiplying the highest exponent prime factors to calculate the LCM of 94272 and 94288.

LCM(94272,94288) = 2⁶ × 3¹ × 491¹ × 71¹ × 83¹
LCM(94272,94288) = 555544896