What is the Least Common Multiple of 22256 and 22271?

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 22256 and 22271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22256 and 22271, than apply into the LCM equation.

GCF(22256,22271) = 1
LCM(22256,22271) = ( 22256 × 22271) / 1
LCM(22256,22271) = 495663376 / 1
LCM(22256,22271) = 495663376

Least Common Multiple (LCM) of 22256 and 22271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22256 and 22271. First we will calculate the prime factors of 22256 and 22271.

Prime Factorization of 22256

Prime Factorization of 22271

Now multiplying the highest exponent prime factors to calculate the LCM of 22256 and 22271.

LCM(22256,22271) = 2⁴ × 13¹ × 107¹ × 22271¹
LCM(22256,22271) = 495663376