What is the Least Common Multiple of 14448 and 14460?

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 14460 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 14460, than apply into the LCM equation.

GCF(14448,14460) = 12
LCM(14448,14460) = ( 14448 × 14460) / 12
LCM(14448,14460) = 208918080 / 12
LCM(14448,14460) = 17409840

Least Common Multiple (LCM) of 14448 and 14460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14448 and 14460. First we will calculate the prime factors of 14448 and 14460.

Prime Factorization of 14448

Prime Factorization of 14460

Now multiplying the highest exponent prime factors to calculate the LCM of 14448 and 14460.

LCM(14448,14460) = 2⁴ × 3¹ × 7¹ × 43¹ × 5¹ × 241¹
LCM(14448,14460) = 17409840