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What is the Least Common Multiple of 8227 and 8233?

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 8227 and 8233 is 67732891.

LCM(8227,8233) = 67732891

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Least Common Multiple of 8227 and 8233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8227 and 8233, than apply into the LCM equation.

GCF(8227,8233) = 1
LCM(8227,8233) = ( 8227 × 8233) / 1
LCM(8227,8233) = 67732891 / 1
LCM(8227,8233) = 67732891

Least Common Multiple (LCM) of 8227 and 8233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8227 and 8233. First we will calculate the prime factors of 8227 and 8233.

Prime Factorization of 8227

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

8227 = 191 × 4331

Prime Factorization of 8233

Prime factors of 8233 are 8233. Prime factorization of 8233 in exponential form is:

8233 = 82331

Now multiplying the highest exponent prime factors to calculate the LCM of 8227 and 8233.

LCM(8227,8233) = 191 × 4331 × 82331
LCM(8227,8233) = 67732891