What is the Least Common Multiple of 44448 and 44457?

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 44448 and 44457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44448 and 44457, than apply into the LCM equation.

GCF(44448,44457) = 3
LCM(44448,44457) = ( 44448 × 44457) / 3
LCM(44448,44457) = 1976024736 / 3
LCM(44448,44457) = 658674912

Least Common Multiple (LCM) of 44448 and 44457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44448 and 44457. First we will calculate the prime factors of 44448 and 44457.

Prime Factorization of 44448

Prime Factorization of 44457

Now multiplying the highest exponent prime factors to calculate the LCM of 44448 and 44457.

LCM(44448,44457) = 2⁵ × 3¹ × 463¹ × 7¹ × 29¹ × 73¹
LCM(44448,44457) = 658674912