What is the Least Common Multiple of 44428 and 44448?

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 44428 and 44448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44428 and 44448, than apply into the LCM equation.

GCF(44428,44448) = 4
LCM(44428,44448) = ( 44428 × 44448) / 4
LCM(44428,44448) = 1974735744 / 4
LCM(44428,44448) = 493683936

Least Common Multiple (LCM) of 44428 and 44448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44428 and 44448. First we will calculate the prime factors of 44428 and 44448.

Prime Factorization of 44428

Prime Factorization of 44448

Now multiplying the highest exponent prime factors to calculate the LCM of 44428 and 44448.

LCM(44428,44448) = 2⁵ × 29¹ × 383¹ × 3¹ × 463¹
LCM(44428,44448) = 493683936