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What is the Least Common Multiple of 12849 and 12858?

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 12849 and 12858 is 55070814.

LCM(12849,12858) = 55070814

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Least Common Multiple of 12849 and 12858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12849 and 12858, than apply into the LCM equation.

GCF(12849,12858) = 3
LCM(12849,12858) = ( 12849 × 12858) / 3
LCM(12849,12858) = 165212442 / 3
LCM(12849,12858) = 55070814

Least Common Multiple (LCM) of 12849 and 12858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12849 and 12858. First we will calculate the prime factors of 12849 and 12858.

Prime Factorization of 12849

Prime factors of 12849 are 3, 4283. Prime factorization of 12849 in exponential form is:

12849 = 31 × 42831

Prime Factorization of 12858

Prime factors of 12858 are 2, 3, 2143. Prime factorization of 12858 in exponential form is:

12858 = 21 × 31 × 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 12849 and 12858.

LCM(12849,12858) = 31 × 42831 × 21 × 21431
LCM(12849,12858) = 55070814