What is the Least Common Multiple of 44395 and 44400?

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 44395 and 44400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44395 and 44400, than apply into the LCM equation.

GCF(44395,44400) = 5
LCM(44395,44400) = ( 44395 × 44400) / 5
LCM(44395,44400) = 1971138000 / 5
LCM(44395,44400) = 394227600

Least Common Multiple (LCM) of 44395 and 44400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44395 and 44400. First we will calculate the prime factors of 44395 and 44400.

Prime Factorization of 44395

Prime Factorization of 44400

Now multiplying the highest exponent prime factors to calculate the LCM of 44395 and 44400.

LCM(44395,44400) = 5² × 13¹ × 683¹ × 2⁴ × 3¹ × 37¹
LCM(44395,44400) = 394227600