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What is the Least Common Multiple of 8213 and 8227?

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 8213 and 8227 is 67568351.

LCM(8213,8227) = 67568351

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Least Common Multiple of 8213 and 8227 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8213 and 8227, than apply into the LCM equation.

GCF(8213,8227) = 1
LCM(8213,8227) = ( 8213 × 8227) / 1
LCM(8213,8227) = 67568351 / 1
LCM(8213,8227) = 67568351

Least Common Multiple (LCM) of 8213 and 8227 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8213 and 8227. First we will calculate the prime factors of 8213 and 8227.

Prime Factorization of 8213

Prime factors of 8213 are 43, 191. Prime factorization of 8213 in exponential form is:

8213 = 431 × 1911

Prime Factorization of 8227

Prime factors of 8227 are 19, 433. Prime factorization of 8227 in exponential form is:

8227 = 191 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 8213 and 8227.

LCM(8213,8227) = 431 × 1911 × 191 × 4331
LCM(8213,8227) = 67568351