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What is the Least Common Multiple of 12397 and 12406?

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 12397 and 12406 is 153797182.

LCM(12397,12406) = 153797182

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Least Common Multiple of 12397 and 12406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12397 and 12406, than apply into the LCM equation.

GCF(12397,12406) = 1
LCM(12397,12406) = ( 12397 × 12406) / 1
LCM(12397,12406) = 153797182 / 1
LCM(12397,12406) = 153797182

Least Common Multiple (LCM) of 12397 and 12406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12397 and 12406. First we will calculate the prime factors of 12397 and 12406.

Prime Factorization of 12397

Prime factors of 12397 are 7, 11, 23. Prime factorization of 12397 in exponential form is:

12397 = 72 × 111 × 231

Prime Factorization of 12406

Prime factors of 12406 are 2, 6203. Prime factorization of 12406 in exponential form is:

12406 = 21 × 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 12397 and 12406.

LCM(12397,12406) = 72 × 111 × 231 × 21 × 62031
LCM(12397,12406) = 153797182