What is the Least Common Multiple of 2264 and 2271?

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 2264 and 2271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2264 and 2271, than apply into the LCM equation.

GCF(2264,2271) = 1
LCM(2264,2271) = ( 2264 × 2271) / 1
LCM(2264,2271) = 5141544 / 1
LCM(2264,2271) = 5141544

Least Common Multiple (LCM) of 2264 and 2271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2264 and 2271. First we will calculate the prime factors of 2264 and 2271.

Prime Factorization of 2264

Prime Factorization of 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2264 and 2271.

LCM(2264,2271) = 2³ × 283¹ × 3¹ × 757¹
LCM(2264,2271) = 5141544