What is the Least Common Multiple of 36804 and 36821?

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 36821 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 36821, than apply into the LCM equation.

GCF(36804,36821) = 1
LCM(36804,36821) = ( 36804 × 36821) / 1
LCM(36804,36821) = 1355160084 / 1
LCM(36804,36821) = 1355160084

Least Common Multiple (LCM) of 36804 and 36821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36804 and 36821. First we will calculate the prime factors of 36804 and 36821.

Prime Factorization of 36804

Prime Factorization of 36821

Now multiplying the highest exponent prime factors to calculate the LCM of 36804 and 36821.

LCM(36804,36821) = 2² × 3¹ × 3067¹ × 36821¹
LCM(36804,36821) = 1355160084