What is the Least Common Multiple of 36804 and 36822?

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 36804 and 36822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36804 and 36822, than apply into the LCM equation.

GCF(36804,36822) = 6
LCM(36804,36822) = ( 36804 × 36822) / 6
LCM(36804,36822) = 1355196888 / 6
LCM(36804,36822) = 225866148

Least Common Multiple (LCM) of 36804 and 36822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36804 and 36822. First we will calculate the prime factors of 36804 and 36822.

Prime Factorization of 36804

Prime Factorization of 36822

Now multiplying the highest exponent prime factors to calculate the LCM of 36804 and 36822.

LCM(36804,36822) = 2² × 3¹ × 3067¹ × 17¹ × 19²
LCM(36804,36822) = 225866148