What is the Least Common Multiple of 10332 and 10339?

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 10332 and 10339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10332 and 10339, than apply into the LCM equation.

GCF(10332,10339) = 7
LCM(10332,10339) = ( 10332 × 10339) / 7
LCM(10332,10339) = 106822548 / 7
LCM(10332,10339) = 15260364

Least Common Multiple (LCM) of 10332 and 10339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10332 and 10339. First we will calculate the prime factors of 10332 and 10339.

Prime Factorization of 10332

Prime Factorization of 10339

Now multiplying the highest exponent prime factors to calculate the LCM of 10332 and 10339.

LCM(10332,10339) = 2² × 3² × 7² × 41¹ × 211¹
LCM(10332,10339) = 15260364