What is the Least Common Multiple of 10389 and 10398?

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 10389 and 10398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10389 and 10398, than apply into the LCM equation.

GCF(10389,10398) = 3
LCM(10389,10398) = ( 10389 × 10398) / 3
LCM(10389,10398) = 108024822 / 3
LCM(10389,10398) = 36008274

Least Common Multiple (LCM) of 10389 and 10398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10389 and 10398. First we will calculate the prime factors of 10389 and 10398.

Prime Factorization of 10389

Prime Factorization of 10398

Now multiplying the highest exponent prime factors to calculate the LCM of 10389 and 10398.

LCM(10389,10398) = 3¹ × 3463¹ × 2¹ × 1733¹
LCM(10389,10398) = 36008274