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What is the Least Common Multiple of 12399 and 12404?

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 12399 and 12404 is 153797196.

LCM(12399,12404) = 153797196

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Least Common Multiple of 12399 and 12404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12399 and 12404, than apply into the LCM equation.

GCF(12399,12404) = 1
LCM(12399,12404) = ( 12399 × 12404) / 1
LCM(12399,12404) = 153797196 / 1
LCM(12399,12404) = 153797196

Least Common Multiple (LCM) of 12399 and 12404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12399 and 12404. First we will calculate the prime factors of 12399 and 12404.

Prime Factorization of 12399

Prime factors of 12399 are 3, 4133. Prime factorization of 12399 in exponential form is:

12399 = 31 × 41331

Prime Factorization of 12404

Prime factors of 12404 are 2, 7, 443. Prime factorization of 12404 in exponential form is:

12404 = 22 × 71 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 12399 and 12404.

LCM(12399,12404) = 31 × 41331 × 22 × 71 × 4431
LCM(12399,12404) = 153797196