GCF and LCM Calculator Logo

What is the Least Common Multiple of 12986 and 12992?

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 12992 is 84357056.

LCM(12986,12992) = 84357056

LCM Calculator and
and

Least Common Multiple of 12986 and 12992 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 12992, than apply into the LCM equation.

GCF(12986,12992) = 2
LCM(12986,12992) = ( 12986 × 12992) / 2
LCM(12986,12992) = 168714112 / 2
LCM(12986,12992) = 84357056

Least Common Multiple (LCM) of 12986 and 12992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12986 and 12992. First we will calculate the prime factors of 12986 and 12992.

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 12992

Prime factors of 12992 are 2, 7, 29. Prime factorization of 12992 in exponential form is:

12992 = 26 × 71 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 12986 and 12992.

LCM(12986,12992) = 26 × 431 × 1511 × 71 × 291
LCM(12986,12992) = 84357056