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What is the Least Common Multiple of 8342 and 8354?

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 8342 and 8354 is 34844534.

LCM(8342,8354) = 34844534

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Least Common Multiple of 8342 and 8354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8342 and 8354, than apply into the LCM equation.

GCF(8342,8354) = 2
LCM(8342,8354) = ( 8342 × 8354) / 2
LCM(8342,8354) = 69689068 / 2
LCM(8342,8354) = 34844534

Least Common Multiple (LCM) of 8342 and 8354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8342 and 8354. First we will calculate the prime factors of 8342 and 8354.

Prime Factorization of 8342

Prime factors of 8342 are 2, 43, 97. Prime factorization of 8342 in exponential form is:

8342 = 21 × 431 × 971

Prime Factorization of 8354

Prime factors of 8354 are 2, 4177. Prime factorization of 8354 in exponential form is:

8354 = 21 × 41771

Now multiplying the highest exponent prime factors to calculate the LCM of 8342 and 8354.

LCM(8342,8354) = 21 × 431 × 971 × 41771
LCM(8342,8354) = 34844534