What is the Least Common Multiple of 19804 and 19814?

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 19804 and 19814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19804 and 19814, than apply into the LCM equation.

GCF(19804,19814) = 2
LCM(19804,19814) = ( 19804 × 19814) / 2
LCM(19804,19814) = 392396456 / 2
LCM(19804,19814) = 196198228

Least Common Multiple (LCM) of 19804 and 19814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19804 and 19814. First we will calculate the prime factors of 19804 and 19814.

Prime Factorization of 19804

Prime Factorization of 19814

Now multiplying the highest exponent prime factors to calculate the LCM of 19804 and 19814.

LCM(19804,19814) = 2² × 4951¹ × 9907¹
LCM(19804,19814) = 196198228