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What is the Least Common Multiple of 12967 and 12985?

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 12967 and 12985 is 168376495.

LCM(12967,12985) = 168376495

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Least Common Multiple of 12967 and 12985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12967 and 12985, than apply into the LCM equation.

GCF(12967,12985) = 1
LCM(12967,12985) = ( 12967 × 12985) / 1
LCM(12967,12985) = 168376495 / 1
LCM(12967,12985) = 168376495

Least Common Multiple (LCM) of 12967 and 12985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12967 and 12985. First we will calculate the prime factors of 12967 and 12985.

Prime Factorization of 12967

Prime factors of 12967 are 12967. Prime factorization of 12967 in exponential form is:

12967 = 129671

Prime Factorization of 12985

Prime factors of 12985 are 5, 7, 53. Prime factorization of 12985 in exponential form is:

12985 = 51 × 72 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 12967 and 12985.

LCM(12967,12985) = 129671 × 51 × 72 × 531
LCM(12967,12985) = 168376495