What is the Least Common Multiple of 19683 and 19690?

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 19683 and 19690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19683 and 19690, than apply into the LCM equation.

GCF(19683,19690) = 1
LCM(19683,19690) = ( 19683 × 19690) / 1
LCM(19683,19690) = 387558270 / 1
LCM(19683,19690) = 387558270

Least Common Multiple (LCM) of 19683 and 19690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19683 and 19690. First we will calculate the prime factors of 19683 and 19690.

Prime Factorization of 19683

Prime Factorization of 19690

Now multiplying the highest exponent prime factors to calculate the LCM of 19683 and 19690.

LCM(19683,19690) = 3⁹ × 2¹ × 5¹ × 11¹ × 179¹
LCM(19683,19690) = 387558270