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What is the Least Common Multiple of 8274 and 8294?

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 8274 and 8294 is 34312278.

LCM(8274,8294) = 34312278

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Least Common Multiple of 8274 and 8294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8274 and 8294, than apply into the LCM equation.

GCF(8274,8294) = 2
LCM(8274,8294) = ( 8274 × 8294) / 2
LCM(8274,8294) = 68624556 / 2
LCM(8274,8294) = 34312278

Least Common Multiple (LCM) of 8274 and 8294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8274 and 8294. First we will calculate the prime factors of 8274 and 8294.

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

Prime Factorization of 8294

Prime factors of 8294 are 2, 11, 13, 29. Prime factorization of 8294 in exponential form is:

8294 = 21 × 111 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 8274 and 8294.

LCM(8274,8294) = 21 × 31 × 71 × 1971 × 111 × 131 × 291
LCM(8274,8294) = 34312278