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What is the Least Common Multiple of 12870 and 12882?

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 12870 and 12882 is 27631890.

LCM(12870,12882) = 27631890

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Least Common Multiple of 12870 and 12882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12870 and 12882, than apply into the LCM equation.

GCF(12870,12882) = 6
LCM(12870,12882) = ( 12870 × 12882) / 6
LCM(12870,12882) = 165791340 / 6
LCM(12870,12882) = 27631890

Least Common Multiple (LCM) of 12870 and 12882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12870 and 12882. First we will calculate the prime factors of 12870 and 12882.

Prime Factorization of 12870

Prime factors of 12870 are 2, 3, 5, 11, 13. Prime factorization of 12870 in exponential form is:

12870 = 21 × 32 × 51 × 111 × 131

Prime Factorization of 12882

Prime factors of 12882 are 2, 3, 19, 113. Prime factorization of 12882 in exponential form is:

12882 = 21 × 31 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 12870 and 12882.

LCM(12870,12882) = 21 × 32 × 51 × 111 × 131 × 191 × 1131
LCM(12870,12882) = 27631890