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What is the Least Common Multiple of 6213 and 6227?

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 6213 and 6227 is 38688351.

LCM(6213,6227) = 38688351

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Least Common Multiple of 6213 and 6227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6213 and 6227, than apply into the LCM equation.

GCF(6213,6227) = 1
LCM(6213,6227) = ( 6213 × 6227) / 1
LCM(6213,6227) = 38688351 / 1
LCM(6213,6227) = 38688351

Least Common Multiple (LCM) of 6213 and 6227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6213 and 6227. First we will calculate the prime factors of 6213 and 6227.

Prime Factorization of 6213

Prime factors of 6213 are 3, 19, 109. Prime factorization of 6213 in exponential form is:

6213 = 31 × 191 × 1091

Prime Factorization of 6227

Prime factors of 6227 are 13, 479. Prime factorization of 6227 in exponential form is:

6227 = 131 × 4791

Now multiplying the highest exponent prime factors to calculate the LCM of 6213 and 6227.

LCM(6213,6227) = 31 × 191 × 1091 × 131 × 4791
LCM(6213,6227) = 38688351