What is the Least Common Multiple of 44307 and 44321?

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 44307 and 44321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44307 and 44321, than apply into the LCM equation.

GCF(44307,44321) = 1
LCM(44307,44321) = ( 44307 × 44321) / 1
LCM(44307,44321) = 1963730547 / 1
LCM(44307,44321) = 1963730547

Least Common Multiple (LCM) of 44307 and 44321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44307 and 44321. First we will calculate the prime factors of 44307 and 44321.

Prime Factorization of 44307

Prime Factorization of 44321

Now multiplying the highest exponent prime factors to calculate the LCM of 44307 and 44321.

LCM(44307,44321) = 3⁴ × 547¹ × 23¹ × 41¹ × 47¹
LCM(44307,44321) = 1963730547