What is the Least Common Multiple of 44271 and 44289?

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 44271 and 44289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44271 and 44289, than apply into the LCM equation.

GCF(44271,44289) = 9
LCM(44271,44289) = ( 44271 × 44289) / 9
LCM(44271,44289) = 1960718319 / 9
LCM(44271,44289) = 217857591

Least Common Multiple (LCM) of 44271 and 44289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44271 and 44289. First we will calculate the prime factors of 44271 and 44289.

Prime Factorization of 44271

Prime Factorization of 44289

Now multiplying the highest exponent prime factors to calculate the LCM of 44271 and 44289.

LCM(44271,44289) = 3² × 4919¹ × 7¹ × 19¹ × 37¹
LCM(44271,44289) = 217857591