What is the Least Common Multiple of 2272 and 2282?

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 2282 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 2282, than apply into the LCM equation.

GCF(2272,2282) = 2
LCM(2272,2282) = ( 2272 × 2282) / 2
LCM(2272,2282) = 5184704 / 2
LCM(2272,2282) = 2592352

Least Common Multiple (LCM) of 2272 and 2282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2272 and 2282. First we will calculate the prime factors of 2272 and 2282.

Prime Factorization of 2272

Prime Factorization of 2282

Now multiplying the highest exponent prime factors to calculate the LCM of 2272 and 2282.

LCM(2272,2282) = 2⁵ × 71¹ × 7¹ × 163¹
LCM(2272,2282) = 2592352