What is the Least Common Multiple of 14240 and 14256?

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 14240 and 14256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14240 and 14256, than apply into the LCM equation.

GCF(14240,14256) = 16
LCM(14240,14256) = ( 14240 × 14256) / 16
LCM(14240,14256) = 203005440 / 16
LCM(14240,14256) = 12687840

Least Common Multiple (LCM) of 14240 and 14256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14240 and 14256. First we will calculate the prime factors of 14240 and 14256.

Prime Factorization of 14240

Prime Factorization of 14256

Now multiplying the highest exponent prime factors to calculate the LCM of 14240 and 14256.

LCM(14240,14256) = 2⁵ × 5¹ × 89¹ × 3⁴ × 11¹
LCM(14240,14256) = 12687840