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What is the Least Common Multiple of 12982 and 12988?

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 12982 and 12988 is 84305108.

LCM(12982,12988) = 84305108

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Least Common Multiple of 12982 and 12988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12982 and 12988, than apply into the LCM equation.

GCF(12982,12988) = 2
LCM(12982,12988) = ( 12982 × 12988) / 2
LCM(12982,12988) = 168610216 / 2
LCM(12982,12988) = 84305108

Least Common Multiple (LCM) of 12982 and 12988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12982 and 12988. First we will calculate the prime factors of 12982 and 12988.

Prime Factorization of 12982

Prime factors of 12982 are 2, 6491. Prime factorization of 12982 in exponential form is:

12982 = 21 × 64911

Prime Factorization of 12988

Prime factors of 12988 are 2, 17, 191. Prime factorization of 12988 in exponential form is:

12988 = 22 × 171 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 12982 and 12988.

LCM(12982,12988) = 22 × 64911 × 171 × 1911
LCM(12982,12988) = 84305108