What is the Least Common Multiple of 44384 and 44403?

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 44384 and 44403 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44384 and 44403, than apply into the LCM equation.

GCF(44384,44403) = 19
LCM(44384,44403) = ( 44384 × 44403) / 19
LCM(44384,44403) = 1970782752 / 19
LCM(44384,44403) = 103725408

Least Common Multiple (LCM) of 44384 and 44403 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44384 and 44403. First we will calculate the prime factors of 44384 and 44403.

Prime Factorization of 44384

Prime Factorization of 44403

Now multiplying the highest exponent prime factors to calculate the LCM of 44384 and 44403.

LCM(44384,44403) = 2⁵ × 19² × 73¹ × 3¹ × 41¹
LCM(44384,44403) = 103725408