What is the Least Common Multiple of 44493 and 44502?

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 44502 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 44502, than apply into the LCM equation.

GCF(44493,44502) = 3
LCM(44493,44502) = ( 44493 × 44502) / 3
LCM(44493,44502) = 1980027486 / 3
LCM(44493,44502) = 660009162

Least Common Multiple (LCM) of 44493 and 44502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44493 and 44502. First we will calculate the prime factors of 44493 and 44502.

Prime Factorization of 44493

Prime Factorization of 44502

Now multiplying the highest exponent prime factors to calculate the LCM of 44493 and 44502.

LCM(44493,44502) = 3¹ × 14831¹ × 2¹ × 7417¹
LCM(44493,44502) = 660009162