What is the Least Common Multiple of 4448 and 4456?

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 4456 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 4456, than apply into the LCM equation.

GCF(4448,4456) = 8
LCM(4448,4456) = ( 4448 × 4456) / 8
LCM(4448,4456) = 19820288 / 8
LCM(4448,4456) = 2477536

Least Common Multiple (LCM) of 4448 and 4456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4448 and 4456. First we will calculate the prime factors of 4448 and 4456.

Prime Factorization of 4448

Prime Factorization of 4456

Now multiplying the highest exponent prime factors to calculate the LCM of 4448 and 4456.

LCM(4448,4456) = 2⁵ × 139¹ × 557¹
LCM(4448,4456) = 2477536