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What is the Least Common Multiple of 12846 and 12859?

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 12846 and 12859 is 165186714.

LCM(12846,12859) = 165186714

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Least Common Multiple of 12846 and 12859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12846 and 12859, than apply into the LCM equation.

GCF(12846,12859) = 1
LCM(12846,12859) = ( 12846 × 12859) / 1
LCM(12846,12859) = 165186714 / 1
LCM(12846,12859) = 165186714

Least Common Multiple (LCM) of 12846 and 12859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12846 and 12859. First we will calculate the prime factors of 12846 and 12859.

Prime Factorization of 12846

Prime factors of 12846 are 2, 3, 2141. Prime factorization of 12846 in exponential form is:

12846 = 21 × 31 × 21411

Prime Factorization of 12859

Prime factors of 12859 are 7, 11, 167. Prime factorization of 12859 in exponential form is:

12859 = 71 × 111 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 12846 and 12859.

LCM(12846,12859) = 21 × 31 × 21411 × 71 × 111 × 1671
LCM(12846,12859) = 165186714