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What is the Least Common Multiple of 8257 and 8274?

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 8274 is 68318418.

LCM(8257,8274) = 68318418

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Least Common Multiple of 8257 and 8274 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 8274, than apply into the LCM equation.

GCF(8257,8274) = 1
LCM(8257,8274) = ( 8257 × 8274) / 1
LCM(8257,8274) = 68318418 / 1
LCM(8257,8274) = 68318418

Least Common Multiple (LCM) of 8257 and 8274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8257 and 8274. First we will calculate the prime factors of 8257 and 8274.

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 8274

Prime factors of 8274 are 2, 3, 7, 197. Prime factorization of 8274 in exponential form is:

8274 = 21 × 31 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 8257 and 8274.

LCM(8257,8274) = 231 × 3591 × 21 × 31 × 71 × 1971
LCM(8257,8274) = 68318418