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What is the Least Common Multiple of 12885 and 12894?

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 12885 and 12894 is 55379730.

LCM(12885,12894) = 55379730

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Least Common Multiple of 12885 and 12894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12885 and 12894, than apply into the LCM equation.

GCF(12885,12894) = 3
LCM(12885,12894) = ( 12885 × 12894) / 3
LCM(12885,12894) = 166139190 / 3
LCM(12885,12894) = 55379730

Least Common Multiple (LCM) of 12885 and 12894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12885 and 12894. First we will calculate the prime factors of 12885 and 12894.

Prime Factorization of 12885

Prime factors of 12885 are 3, 5, 859. Prime factorization of 12885 in exponential form is:

12885 = 31 × 51 × 8591

Prime Factorization of 12894

Prime factors of 12894 are 2, 3, 7, 307. Prime factorization of 12894 in exponential form is:

12894 = 21 × 31 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 12885 and 12894.

LCM(12885,12894) = 31 × 51 × 8591 × 21 × 71 × 3071
LCM(12885,12894) = 55379730