What is the Least Common Multiple of 14440 and 14456?

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 14440 and 14456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14440 and 14456, than apply into the LCM equation.

GCF(14440,14456) = 8
LCM(14440,14456) = ( 14440 × 14456) / 8
LCM(14440,14456) = 208744640 / 8
LCM(14440,14456) = 26093080

Least Common Multiple (LCM) of 14440 and 14456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14440 and 14456. First we will calculate the prime factors of 14440 and 14456.

Prime Factorization of 14440

Prime Factorization of 14456

Now multiplying the highest exponent prime factors to calculate the LCM of 14440 and 14456.

LCM(14440,14456) = 2³ × 5¹ × 19² × 13¹ × 139¹
LCM(14440,14456) = 26093080