What is the Least Common Multiple of 30784 and 30804?

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 30784 and 30804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30784 and 30804, than apply into the LCM equation.

GCF(30784,30804) = 4
LCM(30784,30804) = ( 30784 × 30804) / 4
LCM(30784,30804) = 948270336 / 4
LCM(30784,30804) = 237067584

Least Common Multiple (LCM) of 30784 and 30804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30784 and 30804. First we will calculate the prime factors of 30784 and 30804.

Prime Factorization of 30784

Prime Factorization of 30804

Now multiplying the highest exponent prime factors to calculate the LCM of 30784 and 30804.

LCM(30784,30804) = 2⁶ × 13¹ × 37¹ × 3¹ × 17¹ × 151¹
LCM(30784,30804) = 237067584