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What is the Least Common Multiple of 6191 and 6207?

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 6191 and 6207 is 38427537.

LCM(6191,6207) = 38427537

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Least Common Multiple of 6191 and 6207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6191 and 6207, than apply into the LCM equation.

GCF(6191,6207) = 1
LCM(6191,6207) = ( 6191 × 6207) / 1
LCM(6191,6207) = 38427537 / 1
LCM(6191,6207) = 38427537

Least Common Multiple (LCM) of 6191 and 6207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6191 and 6207. First we will calculate the prime factors of 6191 and 6207.

Prime Factorization of 6191

Prime factors of 6191 are 41, 151. Prime factorization of 6191 in exponential form is:

6191 = 411 × 1511

Prime Factorization of 6207

Prime factors of 6207 are 3, 2069. Prime factorization of 6207 in exponential form is:

6207 = 31 × 20691

Now multiplying the highest exponent prime factors to calculate the LCM of 6191 and 6207.

LCM(6191,6207) = 411 × 1511 × 31 × 20691
LCM(6191,6207) = 38427537