What is the Least Common Multiple of 44493 and 44511?

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 44493 and 44511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44493 and 44511, than apply into the LCM equation.

GCF(44493,44511) = 3
LCM(44493,44511) = ( 44493 × 44511) / 3
LCM(44493,44511) = 1980427923 / 3
LCM(44493,44511) = 660142641

Least Common Multiple (LCM) of 44493 and 44511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44493 and 44511. First we will calculate the prime factors of 44493 and 44511.

Prime Factorization of 44493

Prime Factorization of 44511

Now multiplying the highest exponent prime factors to calculate the LCM of 44493 and 44511.

LCM(44493,44511) = 3¹ × 14831¹ × 37¹ × 401¹
LCM(44493,44511) = 660142641