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What is the Least Common Multiple of 12964 and 12982?

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 12964 and 12982 is 84149324.

LCM(12964,12982) = 84149324

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Least Common Multiple of 12964 and 12982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12964 and 12982, than apply into the LCM equation.

GCF(12964,12982) = 2
LCM(12964,12982) = ( 12964 × 12982) / 2
LCM(12964,12982) = 168298648 / 2
LCM(12964,12982) = 84149324

Least Common Multiple (LCM) of 12964 and 12982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12964 and 12982. First we will calculate the prime factors of 12964 and 12982.

Prime Factorization of 12964

Prime factors of 12964 are 2, 7, 463. Prime factorization of 12964 in exponential form is:

12964 = 22 × 71 × 4631

Prime Factorization of 12982

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

12982 = 21 × 64911

Now multiplying the highest exponent prime factors to calculate the LCM of 12964 and 12982.

LCM(12964,12982) = 22 × 71 × 4631 × 64911
LCM(12964,12982) = 84149324