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What is the Least Common Multiple of 12393 and 12409?

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 12393 and 12409 is 153784737.

LCM(12393,12409) = 153784737

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Least Common Multiple of 12393 and 12409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12393 and 12409, than apply into the LCM equation.

GCF(12393,12409) = 1
LCM(12393,12409) = ( 12393 × 12409) / 1
LCM(12393,12409) = 153784737 / 1
LCM(12393,12409) = 153784737

Least Common Multiple (LCM) of 12393 and 12409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12393 and 12409. First we will calculate the prime factors of 12393 and 12409.

Prime Factorization of 12393

Prime factors of 12393 are 3, 17. Prime factorization of 12393 in exponential form is:

12393 = 36 × 171

Prime Factorization of 12409

Prime factors of 12409 are 12409. Prime factorization of 12409 in exponential form is:

12409 = 124091

Now multiplying the highest exponent prime factors to calculate the LCM of 12393 and 12409.

LCM(12393,12409) = 36 × 171 × 124091
LCM(12393,12409) = 153784737