What is the Least Common Multiple of 44514 and 44529?

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 44529 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 44529, than apply into the LCM equation.

GCF(44514,44529) = 3
LCM(44514,44529) = ( 44514 × 44529) / 3
LCM(44514,44529) = 1982163906 / 3
LCM(44514,44529) = 660721302

Least Common Multiple (LCM) of 44514 and 44529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44514 and 44529. First we will calculate the prime factors of 44514 and 44529.

Prime Factorization of 44514

Prime Factorization of 44529

Now multiplying the highest exponent prime factors to calculate the LCM of 44514 and 44529.

LCM(44514,44529) = 2¹ × 3² × 2473¹ × 14843¹
LCM(44514,44529) = 660721302