What is the Least Common Multiple of 44514 and 44520?

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 44514 and 44520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44514 and 44520, than apply into the LCM equation.

GCF(44514,44520) = 6
LCM(44514,44520) = ( 44514 × 44520) / 6
LCM(44514,44520) = 1981763280 / 6
LCM(44514,44520) = 330293880

Least Common Multiple (LCM) of 44514 and 44520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44514 and 44520. First we will calculate the prime factors of 44514 and 44520.

Prime Factorization of 44514

Prime Factorization of 44520

Now multiplying the highest exponent prime factors to calculate the LCM of 44514 and 44520.

LCM(44514,44520) = 2³ × 3² × 2473¹ × 5¹ × 7¹ × 53¹
LCM(44514,44520) = 330293880