What is the Least Common Multiple of 44784 and 44804?

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 44784 and 44804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44784 and 44804, than apply into the LCM equation.

GCF(44784,44804) = 4
LCM(44784,44804) = ( 44784 × 44804) / 4
LCM(44784,44804) = 2006502336 / 4
LCM(44784,44804) = 501625584

Least Common Multiple (LCM) of 44784 and 44804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44784 and 44804. First we will calculate the prime factors of 44784 and 44804.

Prime Factorization of 44784

Prime Factorization of 44804

Now multiplying the highest exponent prime factors to calculate the LCM of 44784 and 44804.

LCM(44784,44804) = 2⁴ × 3² × 311¹ × 23¹ × 487¹
LCM(44784,44804) = 501625584