What is the Least Common Multiple of 10380 and 10389?

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 10380 and 10389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10380 and 10389, than apply into the LCM equation.

GCF(10380,10389) = 3
LCM(10380,10389) = ( 10380 × 10389) / 3
LCM(10380,10389) = 107837820 / 3
LCM(10380,10389) = 35945940

Least Common Multiple (LCM) of 10380 and 10389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10380 and 10389. First we will calculate the prime factors of 10380 and 10389.

Prime Factorization of 10380

Prime Factorization of 10389

Now multiplying the highest exponent prime factors to calculate the LCM of 10380 and 10389.

LCM(10380,10389) = 2² × 3¹ × 5¹ × 173¹ × 3463¹
LCM(10380,10389) = 35945940