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What is the Least Common Multiple of 8266 and 8275?

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 8266 and 8275 is 68401150.

LCM(8266,8275) = 68401150

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Least Common Multiple of 8266 and 8275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8266 and 8275, than apply into the LCM equation.

GCF(8266,8275) = 1
LCM(8266,8275) = ( 8266 × 8275) / 1
LCM(8266,8275) = 68401150 / 1
LCM(8266,8275) = 68401150

Least Common Multiple (LCM) of 8266 and 8275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8266 and 8275. First we will calculate the prime factors of 8266 and 8275.

Prime Factorization of 8266

Prime factors of 8266 are 2, 4133. Prime factorization of 8266 in exponential form is:

8266 = 21 × 41331

Prime Factorization of 8275

Prime factors of 8275 are 5, 331. Prime factorization of 8275 in exponential form is:

8275 = 52 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 8266 and 8275.

LCM(8266,8275) = 21 × 41331 × 52 × 3311
LCM(8266,8275) = 68401150