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What is the Least Common Multiple of 6836 and 6851?

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 6836 and 6851 is 46833436.

LCM(6836,6851) = 46833436

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Least Common Multiple of 6836 and 6851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6836 and 6851, than apply into the LCM equation.

GCF(6836,6851) = 1
LCM(6836,6851) = ( 6836 × 6851) / 1
LCM(6836,6851) = 46833436 / 1
LCM(6836,6851) = 46833436

Least Common Multiple (LCM) of 6836 and 6851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6836 and 6851. First we will calculate the prime factors of 6836 and 6851.

Prime Factorization of 6836

Prime factors of 6836 are 2, 1709. Prime factorization of 6836 in exponential form is:

6836 = 22 × 17091

Prime Factorization of 6851

Prime factors of 6851 are 13, 17, 31. Prime factorization of 6851 in exponential form is:

6851 = 131 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6836 and 6851.

LCM(6836,6851) = 22 × 17091 × 131 × 171 × 311
LCM(6836,6851) = 46833436