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What is the Least Common Multiple of 12399 and 12411?

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 12411 is 51294663.

LCM(12399,12411) = 51294663

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Least Common Multiple of 12399 and 12411 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 12411, than apply into the LCM equation.

GCF(12399,12411) = 3
LCM(12399,12411) = ( 12399 × 12411) / 3
LCM(12399,12411) = 153883989 / 3
LCM(12399,12411) = 51294663

Least Common Multiple (LCM) of 12399 and 12411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12399 and 12411. First we will calculate the prime factors of 12399 and 12411.

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 12411

Prime factors of 12411 are 3, 7, 197. Prime factorization of 12411 in exponential form is:

12411 = 32 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 12399 and 12411.

LCM(12399,12411) = 32 × 41331 × 71 × 1971
LCM(12399,12411) = 51294663