What is the Least Common Multiple of 44340 and 44345?

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 44345 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 44345, than apply into the LCM equation.

GCF(44340,44345) = 5
LCM(44340,44345) = ( 44340 × 44345) / 5
LCM(44340,44345) = 1966257300 / 5
LCM(44340,44345) = 393251460

Least Common Multiple (LCM) of 44340 and 44345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44340 and 44345. First we will calculate the prime factors of 44340 and 44345.

Prime Factorization of 44340

Prime Factorization of 44345

Now multiplying the highest exponent prime factors to calculate the LCM of 44340 and 44345.

LCM(44340,44345) = 2² × 3¹ × 5¹ × 739¹ × 7² × 181¹
LCM(44340,44345) = 393251460