What is the Least Common Multiple of 94272 and 94291?

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 94291 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 94291, than apply into the LCM equation.

GCF(94272,94291) = 1
LCM(94272,94291) = ( 94272 × 94291) / 1
LCM(94272,94291) = 8889001152 / 1
LCM(94272,94291) = 8889001152

Least Common Multiple (LCM) of 94272 and 94291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94272 and 94291. First we will calculate the prime factors of 94272 and 94291.

Prime Factorization of 94272

Prime Factorization of 94291

Now multiplying the highest exponent prime factors to calculate the LCM of 94272 and 94291.

LCM(94272,94291) = 2⁶ × 3¹ × 491¹ × 94291¹
LCM(94272,94291) = 8889001152