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What is the Least Common Multiple of 12854 and 12867?

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 12854 and 12867 is 165392418.

LCM(12854,12867) = 165392418

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Least Common Multiple of 12854 and 12867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12854 and 12867, than apply into the LCM equation.

GCF(12854,12867) = 1
LCM(12854,12867) = ( 12854 × 12867) / 1
LCM(12854,12867) = 165392418 / 1
LCM(12854,12867) = 165392418

Least Common Multiple (LCM) of 12854 and 12867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12854 and 12867. First we will calculate the prime factors of 12854 and 12867.

Prime Factorization of 12854

Prime factors of 12854 are 2, 6427. Prime factorization of 12854 in exponential form is:

12854 = 21 × 64271

Prime Factorization of 12867

Prime factors of 12867 are 3, 4289. Prime factorization of 12867 in exponential form is:

12867 = 31 × 42891

Now multiplying the highest exponent prime factors to calculate the LCM of 12854 and 12867.

LCM(12854,12867) = 21 × 64271 × 31 × 42891
LCM(12854,12867) = 165392418