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What is the Least Common Multiple of 6188 and 6193?

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 6193 is 38322284.

LCM(6188,6193) = 38322284

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Least Common Multiple of 6188 and 6193 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 6193, than apply into the LCM equation.

GCF(6188,6193) = 1
LCM(6188,6193) = ( 6188 × 6193) / 1
LCM(6188,6193) = 38322284 / 1
LCM(6188,6193) = 38322284

Least Common Multiple (LCM) of 6188 and 6193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6188 and 6193. First we will calculate the prime factors of 6188 and 6193.

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 6193

Prime factors of 6193 are 11, 563. Prime factorization of 6193 in exponential form is:

6193 = 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 6188 and 6193.

LCM(6188,6193) = 22 × 71 × 131 × 171 × 111 × 5631
LCM(6188,6193) = 38322284