What is the Least Common Multiple of 94256 and 94271?

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 94256 and 94271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94256 and 94271, than apply into the LCM equation.

GCF(94256,94271) = 1
LCM(94256,94271) = ( 94256 × 94271) / 1
LCM(94256,94271) = 8885607376 / 1
LCM(94256,94271) = 8885607376

Least Common Multiple (LCM) of 94256 and 94271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94256 and 94271. First we will calculate the prime factors of 94256 and 94271.

Prime Factorization of 94256

Prime Factorization of 94271

Now multiplying the highest exponent prime factors to calculate the LCM of 94256 and 94271.

LCM(94256,94271) = 2⁴ × 43¹ × 137¹ × 31¹ × 3041¹
LCM(94256,94271) = 8885607376