What is the Least Common Multiple of 4448 and 4454?

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 4454 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 4454, than apply into the LCM equation.

GCF(4448,4454) = 2
LCM(4448,4454) = ( 4448 × 4454) / 2
LCM(4448,4454) = 19811392 / 2
LCM(4448,4454) = 9905696

Least Common Multiple (LCM) of 4448 and 4454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4448 and 4454. First we will calculate the prime factors of 4448 and 4454.

Prime Factorization of 4448

Prime Factorization of 4454

Now multiplying the highest exponent prime factors to calculate the LCM of 4448 and 4454.

LCM(4448,4454) = 2⁵ × 139¹ × 17¹ × 131¹
LCM(4448,4454) = 9905696