What is the Least Common Multiple of 2252 and 2272?

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 2252 and 2272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2252 and 2272, than apply into the LCM equation.

GCF(2252,2272) = 4
LCM(2252,2272) = ( 2252 × 2272) / 4
LCM(2252,2272) = 5116544 / 4
LCM(2252,2272) = 1279136

Least Common Multiple (LCM) of 2252 and 2272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2252 and 2272. First we will calculate the prime factors of 2252 and 2272.

Prime Factorization of 2252

Prime Factorization of 2272

Now multiplying the highest exponent prime factors to calculate the LCM of 2252 and 2272.

LCM(2252,2272) = 2⁵ × 563¹ × 71¹
LCM(2252,2272) = 1279136