What is the Least Common Multiple of 4448 and 4457?

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 4448 and 4457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4448 and 4457, than apply into the LCM equation.

GCF(4448,4457) = 1
LCM(4448,4457) = ( 4448 × 4457) / 1
LCM(4448,4457) = 19824736 / 1
LCM(4448,4457) = 19824736

Least Common Multiple (LCM) of 4448 and 4457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4448 and 4457. First we will calculate the prime factors of 4448 and 4457.

Prime Factorization of 4448

Prime Factorization of 4457

Now multiplying the highest exponent prime factors to calculate the LCM of 4448 and 4457.

LCM(4448,4457) = 2⁵ × 139¹ × 4457¹
LCM(4448,4457) = 19824736