What is the Least Common Multiple of 44340 and 44344?

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 44340 and 44344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44340 and 44344, than apply into the LCM equation.

GCF(44340,44344) = 4
LCM(44340,44344) = ( 44340 × 44344) / 4
LCM(44340,44344) = 1966212960 / 4
LCM(44340,44344) = 491553240

Least Common Multiple (LCM) of 44340 and 44344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44340 and 44344. First we will calculate the prime factors of 44340 and 44344.

Prime Factorization of 44340

Prime Factorization of 44344

Now multiplying the highest exponent prime factors to calculate the LCM of 44340 and 44344.

LCM(44340,44344) = 2³ × 3¹ × 5¹ × 739¹ × 23¹ × 241¹
LCM(44340,44344) = 491553240