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What is the Least Common Multiple of 12862 and 12868?

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 12862 and 12868 is 82754108.

LCM(12862,12868) = 82754108

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Least Common Multiple of 12862 and 12868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12862 and 12868, than apply into the LCM equation.

GCF(12862,12868) = 2
LCM(12862,12868) = ( 12862 × 12868) / 2
LCM(12862,12868) = 165508216 / 2
LCM(12862,12868) = 82754108

Least Common Multiple (LCM) of 12862 and 12868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12862 and 12868. First we will calculate the prime factors of 12862 and 12868.

Prime Factorization of 12862

Prime factors of 12862 are 2, 59, 109. Prime factorization of 12862 in exponential form is:

12862 = 21 × 591 × 1091

Prime Factorization of 12868

Prime factors of 12868 are 2, 3217. Prime factorization of 12868 in exponential form is:

12868 = 22 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 12862 and 12868.

LCM(12862,12868) = 22 × 591 × 1091 × 32171
LCM(12862,12868) = 82754108