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What is the Least Common Multiple of 8191 and 8206?

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 8206 is 67215346.

LCM(8191,8206) = 67215346

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Least Common Multiple of 8191 and 8206 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 8206, than apply into the LCM equation.

GCF(8191,8206) = 1
LCM(8191,8206) = ( 8191 × 8206) / 1
LCM(8191,8206) = 67215346 / 1
LCM(8191,8206) = 67215346

Least Common Multiple (LCM) of 8191 and 8206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8191 and 8206. First we will calculate the prime factors of 8191 and 8206.

Prime Factorization of 8191

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

8191 = 81911

Prime Factorization of 8206

Prime factors of 8206 are 2, 11, 373. Prime factorization of 8206 in exponential form is:

8206 = 21 × 111 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 8191 and 8206.

LCM(8191,8206) = 81911 × 21 × 111 × 3731
LCM(8191,8206) = 67215346