What is the Least Common Multiple of 4428 and 4448?

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 4428 and 4448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4428 and 4448, than apply into the LCM equation.

GCF(4428,4448) = 4
LCM(4428,4448) = ( 4428 × 4448) / 4
LCM(4428,4448) = 19695744 / 4
LCM(4428,4448) = 4923936

Least Common Multiple (LCM) of 4428 and 4448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4428 and 4448. First we will calculate the prime factors of 4428 and 4448.

Prime Factorization of 4428

Prime Factorization of 4448

Now multiplying the highest exponent prime factors to calculate the LCM of 4428 and 4448.

LCM(4428,4448) = 2⁵ × 3³ × 41¹ × 139¹
LCM(4428,4448) = 4923936