What is the Least Common Multiple of 14440 and 14454?

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 14454 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 14454, than apply into the LCM equation.

GCF(14440,14454) = 2
LCM(14440,14454) = ( 14440 × 14454) / 2
LCM(14440,14454) = 208715760 / 2
LCM(14440,14454) = 104357880

Least Common Multiple (LCM) of 14440 and 14454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14440 and 14454. First we will calculate the prime factors of 14440 and 14454.

Prime Factorization of 14440

Prime Factorization of 14454

Now multiplying the highest exponent prime factors to calculate the LCM of 14440 and 14454.

LCM(14440,14454) = 2³ × 5¹ × 19² × 3² × 11¹ × 73¹
LCM(14440,14454) = 104357880