What is the Least Common Multiple of 44364 and 44382?

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 44364 and 44382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44364 and 44382, than apply into the LCM equation.

GCF(44364,44382) = 6
LCM(44364,44382) = ( 44364 × 44382) / 6
LCM(44364,44382) = 1968963048 / 6
LCM(44364,44382) = 328160508

Least Common Multiple (LCM) of 44364 and 44382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44364 and 44382. First we will calculate the prime factors of 44364 and 44382.

Prime Factorization of 44364

Prime Factorization of 44382

Now multiplying the highest exponent prime factors to calculate the LCM of 44364 and 44382.

LCM(44364,44382) = 2² × 3¹ × 3697¹ × 13¹ × 569¹
LCM(44364,44382) = 328160508