What is the Least Common Multiple of 2272 and 2284?

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 2272 and 2284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2272 and 2284, than apply into the LCM equation.

GCF(2272,2284) = 4
LCM(2272,2284) = ( 2272 × 2284) / 4
LCM(2272,2284) = 5189248 / 4
LCM(2272,2284) = 1297312

Least Common Multiple (LCM) of 2272 and 2284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2284. First we will calculate the prime factors of 2272 and 2284.

Prime Factorization of 2272

Prime Factorization of 2284

Now multiplying the highest exponent prime factors to calculate the LCM of 2272 and 2284.

LCM(2272,2284) = 2⁵ × 71¹ × 571¹
LCM(2272,2284) = 1297312