What is the Least Common Multiple of 44321 and 44339?

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 44321 and 44339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44321 and 44339, than apply into the LCM equation.

GCF(44321,44339) = 1
LCM(44321,44339) = ( 44321 × 44339) / 1
LCM(44321,44339) = 1965148819 / 1
LCM(44321,44339) = 1965148819

Least Common Multiple (LCM) of 44321 and 44339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44321 and 44339. First we will calculate the prime factors of 44321 and 44339.

Prime Factorization of 44321

Prime Factorization of 44339

Now multiplying the highest exponent prime factors to calculate the LCM of 44321 and 44339.

LCM(44321,44339) = 23¹ × 41¹ × 47¹ × 101¹ × 439¹
LCM(44321,44339) = 1965148819