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What is the Least Common Multiple of 12398 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 12398 and 12407 is 153821986.

LCM(12398,12407) = 153821986

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Least Common Multiple of 12398 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 12398 and 12407, than apply into the LCM equation.

GCF(12398,12407) = 1
LCM(12398,12407) = ( 12398 × 12407) / 1
LCM(12398,12407) = 153821986 / 1
LCM(12398,12407) = 153821986

Least Common Multiple (LCM) of 12398 and 12407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12398 and 12407. First we will calculate the prime factors of 12398 and 12407.

Prime Factorization of 12398

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

12398 = 21 × 61991

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 12398 and 12407.

LCM(12398,12407) = 21 × 61991 × 191 × 6531
LCM(12398,12407) = 153821986