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What is the Least Common Multiple of 8242 and 8257?

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 8242 and 8257 is 68054194.

LCM(8242,8257) = 68054194

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Least Common Multiple of 8242 and 8257 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8242 and 8257, than apply into the LCM equation.

GCF(8242,8257) = 1
LCM(8242,8257) = ( 8242 × 8257) / 1
LCM(8242,8257) = 68054194 / 1
LCM(8242,8257) = 68054194

Least Common Multiple (LCM) of 8242 and 8257 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8242 and 8257. First we will calculate the prime factors of 8242 and 8257.

Prime Factorization of 8242

Prime factors of 8242 are 2, 13, 317. Prime factorization of 8242 in exponential form is:

8242 = 21 × 131 × 3171

Prime Factorization of 8257

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

8257 = 231 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 8242 and 8257.

LCM(8242,8257) = 21 × 131 × 3171 × 231 × 3591
LCM(8242,8257) = 68054194