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What is the Least Common Multiple of 8191 and 8211?

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 8191 and 8211 is 67256301.

LCM(8191,8211) = 67256301

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Least Common Multiple of 8191 and 8211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8191 and 8211, than apply into the LCM equation.

GCF(8191,8211) = 1
LCM(8191,8211) = ( 8191 × 8211) / 1
LCM(8191,8211) = 67256301 / 1
LCM(8191,8211) = 67256301

Least Common Multiple (LCM) of 8191 and 8211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8191 and 8211. First we will calculate the prime factors of 8191 and 8211.

Prime Factorization of 8191

Prime factors of 8191 are 8191. Prime factorization of 8191 in exponential form is:

8191 = 81911

Prime Factorization of 8211

Prime factors of 8211 are 3, 7, 17, 23. Prime factorization of 8211 in exponential form is:

8211 = 31 × 71 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8191 and 8211.

LCM(8191,8211) = 81911 × 31 × 71 × 171 × 231
LCM(8191,8211) = 67256301