What is the Least Common Multiple of 14448 and 14464?

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 14448 and 14464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14448 and 14464, than apply into the LCM equation.

GCF(14448,14464) = 16
LCM(14448,14464) = ( 14448 × 14464) / 16
LCM(14448,14464) = 208975872 / 16
LCM(14448,14464) = 13060992

Least Common Multiple (LCM) of 14448 and 14464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14448 and 14464. First we will calculate the prime factors of 14448 and 14464.

Prime Factorization of 14448

Prime Factorization of 14464

Now multiplying the highest exponent prime factors to calculate the LCM of 14448 and 14464.

LCM(14448,14464) = 2⁷ × 3¹ × 7¹ × 43¹ × 113¹
LCM(14448,14464) = 13060992