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What is the Least Common Multiple of 12396 and 12407?

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 12396 and 12407 is 153797172.

LCM(12396,12407) = 153797172

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Least Common Multiple of 12396 and 12407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12396 and 12407, than apply into the LCM equation.

GCF(12396,12407) = 1
LCM(12396,12407) = ( 12396 × 12407) / 1
LCM(12396,12407) = 153797172 / 1
LCM(12396,12407) = 153797172

Least Common Multiple (LCM) of 12396 and 12407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12396 and 12407. First we will calculate the prime factors of 12396 and 12407.

Prime Factorization of 12396

Prime factors of 12396 are 2, 3, 1033. Prime factorization of 12396 in exponential form is:

12396 = 22 × 31 × 10331

Prime Factorization of 12407

Prime factors of 12407 are 19, 653. Prime factorization of 12407 in exponential form is:

12407 = 191 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 12396 and 12407.

LCM(12396,12407) = 22 × 31 × 10331 × 191 × 6531
LCM(12396,12407) = 153797172