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What is the Least Common Multiple of 8276 and 8287?

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 8276 and 8287 is 68583212.

LCM(8276,8287) = 68583212

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Least Common Multiple of 8276 and 8287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8276 and 8287, than apply into the LCM equation.

GCF(8276,8287) = 1
LCM(8276,8287) = ( 8276 × 8287) / 1
LCM(8276,8287) = 68583212 / 1
LCM(8276,8287) = 68583212

Least Common Multiple (LCM) of 8276 and 8287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8276 and 8287. First we will calculate the prime factors of 8276 and 8287.

Prime Factorization of 8276

Prime factors of 8276 are 2, 2069. Prime factorization of 8276 in exponential form is:

8276 = 22 × 20691

Prime Factorization of 8287

Prime factors of 8287 are 8287. Prime factorization of 8287 in exponential form is:

8287 = 82871

Now multiplying the highest exponent prime factors to calculate the LCM of 8276 and 8287.

LCM(8276,8287) = 22 × 20691 × 82871
LCM(8276,8287) = 68583212