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What is the Least Common Multiple of 8257 and 8269?

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 8257 and 8269 is 68277133.

LCM(8257,8269) = 68277133

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Least Common Multiple of 8257 and 8269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8257 and 8269, than apply into the LCM equation.

GCF(8257,8269) = 1
LCM(8257,8269) = ( 8257 × 8269) / 1
LCM(8257,8269) = 68277133 / 1
LCM(8257,8269) = 68277133

Least Common Multiple (LCM) of 8257 and 8269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8257 and 8269. First we will calculate the prime factors of 8257 and 8269.

Prime Factorization of 8257

Prime factors of 8257 are 23, 359. Prime factorization of 8257 in exponential form is:

8257 = 231 × 3591

Prime Factorization of 8269

Prime factors of 8269 are 8269. Prime factorization of 8269 in exponential form is:

8269 = 82691

Now multiplying the highest exponent prime factors to calculate the LCM of 8257 and 8269.

LCM(8257,8269) = 231 × 3591 × 82691
LCM(8257,8269) = 68277133