What is the Least Common Multiple of 44389 and 44397?

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 44389 and 44397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44389 and 44397, than apply into the LCM equation.

GCF(44389,44397) = 1
LCM(44389,44397) = ( 44389 × 44397) / 1
LCM(44389,44397) = 1970738433 / 1
LCM(44389,44397) = 1970738433

Least Common Multiple (LCM) of 44389 and 44397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44389 and 44397. First we will calculate the prime factors of 44389 and 44397.

Prime Factorization of 44389

Prime Factorization of 44397

Now multiplying the highest exponent prime factors to calculate the LCM of 44389 and 44397.

LCM(44389,44397) = 44389¹ × 3² × 4933¹
LCM(44389,44397) = 1970738433