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What is the Least Common Multiple of 12986 and 12996?

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 12986 and 12996 is 84383028.

LCM(12986,12996) = 84383028

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Least Common Multiple of 12986 and 12996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12986 and 12996, than apply into the LCM equation.

GCF(12986,12996) = 2
LCM(12986,12996) = ( 12986 × 12996) / 2
LCM(12986,12996) = 168766056 / 2
LCM(12986,12996) = 84383028

Least Common Multiple (LCM) of 12986 and 12996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12986 and 12996. First we will calculate the prime factors of 12986 and 12996.

Prime Factorization of 12986

Prime factors of 12986 are 2, 43, 151. Prime factorization of 12986 in exponential form is:

12986 = 21 × 431 × 1511

Prime Factorization of 12996

Prime factors of 12996 are 2, 3, 19. Prime factorization of 12996 in exponential form is:

12996 = 22 × 32 × 192

Now multiplying the highest exponent prime factors to calculate the LCM of 12986 and 12996.

LCM(12986,12996) = 22 × 431 × 1511 × 32 × 192
LCM(12986,12996) = 84383028