What is the Least Common Multiple of 19389 and 19398?

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 19389 and 19398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19389 and 19398, than apply into the LCM equation.

GCF(19389,19398) = 3
LCM(19389,19398) = ( 19389 × 19398) / 3
LCM(19389,19398) = 376107822 / 3
LCM(19389,19398) = 125369274

Least Common Multiple (LCM) of 19389 and 19398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19389 and 19398. First we will calculate the prime factors of 19389 and 19398.

Prime Factorization of 19389

Prime Factorization of 19398

Now multiplying the highest exponent prime factors to calculate the LCM of 19389 and 19398.

LCM(19389,19398) = 3¹ × 23¹ × 281¹ × 2¹ × 53¹ × 61¹
LCM(19389,19398) = 125369274