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What is the Least Common Multiple of 12892 and 12898?

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 12892 and 12898 is 83140508.

LCM(12892,12898) = 83140508

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Least Common Multiple of 12892 and 12898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12892 and 12898, than apply into the LCM equation.

GCF(12892,12898) = 2
LCM(12892,12898) = ( 12892 × 12898) / 2
LCM(12892,12898) = 166281016 / 2
LCM(12892,12898) = 83140508

Least Common Multiple (LCM) of 12892 and 12898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12892 and 12898. First we will calculate the prime factors of 12892 and 12898.

Prime Factorization of 12892

Prime factors of 12892 are 2, 11, 293. Prime factorization of 12892 in exponential form is:

12892 = 22 × 111 × 2931

Prime Factorization of 12898

Prime factors of 12898 are 2, 6449. Prime factorization of 12898 in exponential form is:

12898 = 21 × 64491

Now multiplying the highest exponent prime factors to calculate the LCM of 12892 and 12898.

LCM(12892,12898) = 22 × 111 × 2931 × 64491
LCM(12892,12898) = 83140508