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What is the Least Common Multiple of 6198 and 6217?

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 6198 and 6217 is 38532966.

LCM(6198,6217) = 38532966

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Least Common Multiple of 6198 and 6217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6198 and 6217, than apply into the LCM equation.

GCF(6198,6217) = 1
LCM(6198,6217) = ( 6198 × 6217) / 1
LCM(6198,6217) = 38532966 / 1
LCM(6198,6217) = 38532966

Least Common Multiple (LCM) of 6198 and 6217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6198 and 6217. First we will calculate the prime factors of 6198 and 6217.

Prime Factorization of 6198

Prime factors of 6198 are 2, 3, 1033. Prime factorization of 6198 in exponential form is:

6198 = 21 × 31 × 10331

Prime Factorization of 6217

Prime factors of 6217 are 6217. Prime factorization of 6217 in exponential form is:

6217 = 62171

Now multiplying the highest exponent prime factors to calculate the LCM of 6198 and 6217.

LCM(6198,6217) = 21 × 31 × 10331 × 62171
LCM(6198,6217) = 38532966