What is the Least Common Multiple of 44382 and 44394?

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 44382 and 44394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44382 and 44394, than apply into the LCM equation.

GCF(44382,44394) = 6
LCM(44382,44394) = ( 44382 × 44394) / 6
LCM(44382,44394) = 1970294508 / 6
LCM(44382,44394) = 328382418

Least Common Multiple (LCM) of 44382 and 44394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44382 and 44394. First we will calculate the prime factors of 44382 and 44394.

Prime Factorization of 44382

Prime Factorization of 44394

Now multiplying the highest exponent prime factors to calculate the LCM of 44382 and 44394.

LCM(44382,44394) = 2¹ × 3¹ × 13¹ × 569¹ × 7² × 151¹
LCM(44382,44394) = 328382418