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What is the Least Common Multiple of 12382 and 12398?

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 12382 and 12398 is 76756018.

LCM(12382,12398) = 76756018

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Least Common Multiple of 12382 and 12398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12382 and 12398, than apply into the LCM equation.

GCF(12382,12398) = 2
LCM(12382,12398) = ( 12382 × 12398) / 2
LCM(12382,12398) = 153512036 / 2
LCM(12382,12398) = 76756018

Least Common Multiple (LCM) of 12382 and 12398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12382 and 12398. First we will calculate the prime factors of 12382 and 12398.

Prime Factorization of 12382

Prime factors of 12382 are 2, 41, 151. Prime factorization of 12382 in exponential form is:

12382 = 21 × 411 × 1511

Prime Factorization of 12398

Prime factors of 12398 are 2, 6199. Prime factorization of 12398 in exponential form is:

12398 = 21 × 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 12382 and 12398.

LCM(12382,12398) = 21 × 411 × 1511 × 61991
LCM(12382,12398) = 76756018