What is the Least Common Multiple of 36784 and 36804?

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 36784 and 36804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36784 and 36804, than apply into the LCM equation.

GCF(36784,36804) = 4
LCM(36784,36804) = ( 36784 × 36804) / 4
LCM(36784,36804) = 1353798336 / 4
LCM(36784,36804) = 338449584

Least Common Multiple (LCM) of 36784 and 36804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36784 and 36804. First we will calculate the prime factors of 36784 and 36804.

Prime Factorization of 36784

Prime Factorization of 36804

Now multiplying the highest exponent prime factors to calculate the LCM of 36784 and 36804.

LCM(36784,36804) = 2⁴ × 11² × 19¹ × 3¹ × 3067¹
LCM(36784,36804) = 338449584