What is the Least Common Multiple of 44314 and 44323?

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 44314 and 44323 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44314 and 44323, than apply into the LCM equation.

GCF(44314,44323) = 1
LCM(44314,44323) = ( 44314 × 44323) / 1
LCM(44314,44323) = 1964129422 / 1
LCM(44314,44323) = 1964129422

Least Common Multiple (LCM) of 44314 and 44323 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44314 and 44323. First we will calculate the prime factors of 44314 and 44323.

Prime Factorization of 44314

Prime Factorization of 44323

Now multiplying the highest exponent prime factors to calculate the LCM of 44314 and 44323.

LCM(44314,44323) = 2¹ × 22157¹ × 127¹ × 349¹
LCM(44314,44323) = 1964129422