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What is the Least Common Multiple of 12303 and 12309?

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 (LCM) of 12303 and 12309 is 50479209.

LCM(12303,12309) = 50479209

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Least Common Multiple of 12303 and 12309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12303 and 12309, than apply into the LCM equation.

GCF(12303,12309) = 3
LCM(12303,12309) = ( 12303 × 12309) / 3
LCM(12303,12309) = 151437627 / 3
LCM(12303,12309) = 50479209

Least Common Multiple (LCM) of 12303 and 12309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12303 and 12309. First we will calculate the prime factors of 12303 and 12309.

Prime Factorization of 12303

Prime factors of 12303 are 3, 1367. Prime factorization of 12303 in exponential form is:

12303 = 32 × 13671

Prime Factorization of 12309

Prime factors of 12309 are 3, 11, 373. Prime factorization of 12309 in exponential form is:

12309 = 31 × 111 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 12303 and 12309.

LCM(12303,12309) = 32 × 13671 × 111 × 3731
LCM(12303,12309) = 50479209