What is the Least Common Multiple of 44500 and 44514?

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 44500 and 44514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44500 and 44514, than apply into the LCM equation.

GCF(44500,44514) = 2
LCM(44500,44514) = ( 44500 × 44514) / 2
LCM(44500,44514) = 1980873000 / 2
LCM(44500,44514) = 990436500

Least Common Multiple (LCM) of 44500 and 44514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44500 and 44514. First we will calculate the prime factors of 44500 and 44514.

Prime Factorization of 44500

Prime Factorization of 44514

Now multiplying the highest exponent prime factors to calculate the LCM of 44500 and 44514.

LCM(44500,44514) = 2² × 5³ × 89¹ × 3² × 2473¹
LCM(44500,44514) = 990436500