What is the Least Common Multiple of 44345 and 44355?

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 44345 and 44355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44345 and 44355, than apply into the LCM equation.

GCF(44345,44355) = 5
LCM(44345,44355) = ( 44345 × 44355) / 5
LCM(44345,44355) = 1966922475 / 5
LCM(44345,44355) = 393384495

Least Common Multiple (LCM) of 44345 and 44355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44345 and 44355. First we will calculate the prime factors of 44345 and 44355.

Prime Factorization of 44345

Prime Factorization of 44355

Now multiplying the highest exponent prime factors to calculate the LCM of 44345 and 44355.

LCM(44345,44355) = 5¹ × 7² × 181¹ × 3¹ × 2957¹
LCM(44345,44355) = 393384495