What is the Least Common Multiple of 19788 and 19804?

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 19804 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 19804, than apply into the LCM equation.

GCF(19788,19804) = 4
LCM(19788,19804) = ( 19788 × 19804) / 4
LCM(19788,19804) = 391881552 / 4
LCM(19788,19804) = 97970388

Least Common Multiple (LCM) of 19788 and 19804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19788 and 19804. First we will calculate the prime factors of 19788 and 19804.

Prime Factorization of 19788

Prime Factorization of 19804

Now multiplying the highest exponent prime factors to calculate the LCM of 19788 and 19804.

LCM(19788,19804) = 2² × 3¹ × 17¹ × 97¹ × 4951¹
LCM(19788,19804) = 97970388