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What is the Least Common Multiple of 12309 and 12328?

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 12309 and 12328 is 151745352.

LCM(12309,12328) = 151745352

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Least Common Multiple of 12309 and 12328 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12309 and 12328, than apply into the LCM equation.

GCF(12309,12328) = 1
LCM(12309,12328) = ( 12309 × 12328) / 1
LCM(12309,12328) = 151745352 / 1
LCM(12309,12328) = 151745352

Least Common Multiple (LCM) of 12309 and 12328 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12309 and 12328. First we will calculate the prime factors of 12309 and 12328.

Prime Factorization of 12309

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

12309 = 31 × 111 × 3731

Prime Factorization of 12328

Prime factors of 12328 are 2, 23, 67. Prime factorization of 12328 in exponential form is:

12328 = 23 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 12309 and 12328.

LCM(12309,12328) = 31 × 111 × 3731 × 23 × 231 × 671
LCM(12309,12328) = 151745352