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What is the Least Common Multiple of 6188 and 6199?

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 6188 and 6199 is 38359412.

LCM(6188,6199) = 38359412

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Least Common Multiple of 6188 and 6199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6188 and 6199, than apply into the LCM equation.

GCF(6188,6199) = 1
LCM(6188,6199) = ( 6188 × 6199) / 1
LCM(6188,6199) = 38359412 / 1
LCM(6188,6199) = 38359412

Least Common Multiple (LCM) of 6188 and 6199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6188 and 6199. First we will calculate the prime factors of 6188 and 6199.

Prime Factorization of 6188

Prime factors of 6188 are 2, 7, 13, 17. Prime factorization of 6188 in exponential form is:

6188 = 22 × 71 × 131 × 171

Prime Factorization of 6199

Prime factors of 6199 are 6199. Prime factorization of 6199 in exponential form is:

6199 = 61991

Now multiplying the highest exponent prime factors to calculate the LCM of 6188 and 6199.

LCM(6188,6199) = 22 × 71 × 131 × 171 × 61991
LCM(6188,6199) = 38359412