What is the Least Common Multiple of 19788 and 19806?

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 19788 and 19806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19788 and 19806, than apply into the LCM equation.

GCF(19788,19806) = 6
LCM(19788,19806) = ( 19788 × 19806) / 6
LCM(19788,19806) = 391921128 / 6
LCM(19788,19806) = 65320188

Least Common Multiple (LCM) of 19788 and 19806 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19788 and 19806. First we will calculate the prime factors of 19788 and 19806.

Prime Factorization of 19788

Prime Factorization of 19806

Now multiplying the highest exponent prime factors to calculate the LCM of 19788 and 19806.

LCM(19788,19806) = 2² × 3¹ × 17¹ × 97¹ × 3301¹
LCM(19788,19806) = 65320188