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What is the Least Common Multiple of 8234 and 8249?

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 8234 and 8249 is 67922266.

LCM(8234,8249) = 67922266

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Least Common Multiple of 8234 and 8249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8234 and 8249, than apply into the LCM equation.

GCF(8234,8249) = 1
LCM(8234,8249) = ( 8234 × 8249) / 1
LCM(8234,8249) = 67922266 / 1
LCM(8234,8249) = 67922266

Least Common Multiple (LCM) of 8234 and 8249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8234 and 8249. First we will calculate the prime factors of 8234 and 8249.

Prime Factorization of 8234

Prime factors of 8234 are 2, 23, 179. Prime factorization of 8234 in exponential form is:

8234 = 21 × 231 × 1791

Prime Factorization of 8249

Prime factors of 8249 are 73, 113. Prime factorization of 8249 in exponential form is:

8249 = 731 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8234 and 8249.

LCM(8234,8249) = 21 × 231 × 1791 × 731 × 1131
LCM(8234,8249) = 67922266