What is the Least Common Multiple of 40784 and 40804?

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 40784 and 40804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40784 and 40804, than apply into the LCM equation.

GCF(40784,40804) = 4
LCM(40784,40804) = ( 40784 × 40804) / 4
LCM(40784,40804) = 1664150336 / 4
LCM(40784,40804) = 416037584

Least Common Multiple (LCM) of 40784 and 40804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40784 and 40804. First we will calculate the prime factors of 40784 and 40804.

Prime Factorization of 40784

Prime Factorization of 40804

Now multiplying the highest exponent prime factors to calculate the LCM of 40784 and 40804.

LCM(40784,40804) = 2⁴ × 2549¹ × 101²
LCM(40784,40804) = 416037584