What is the Least Common Multiple of 14256 and 14272?

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 14256 and 14272 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14256 and 14272, than apply into the LCM equation.

GCF(14256,14272) = 16
LCM(14256,14272) = ( 14256 × 14272) / 16
LCM(14256,14272) = 203461632 / 16
LCM(14256,14272) = 12716352

Least Common Multiple (LCM) of 14256 and 14272 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14256 and 14272. First we will calculate the prime factors of 14256 and 14272.

Prime Factorization of 14256

Prime Factorization of 14272

Now multiplying the highest exponent prime factors to calculate the LCM of 14256 and 14272.

LCM(14256,14272) = 2⁶ × 3⁴ × 11¹ × 223¹
LCM(14256,14272) = 12716352