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What is the Least Common Multiple of 8342 and 8352?

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 8352 is 34836192.

LCM(8342,8352) = 34836192

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Least Common Multiple of 8342 and 8352 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 8352, than apply into the LCM equation.

GCF(8342,8352) = 2
LCM(8342,8352) = ( 8342 × 8352) / 2
LCM(8342,8352) = 69672384 / 2
LCM(8342,8352) = 34836192

Least Common Multiple (LCM) of 8342 and 8352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8342 and 8352. First we will calculate the prime factors of 8342 and 8352.

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 8352

Prime factors of 8352 are 2, 3, 29. Prime factorization of 8352 in exponential form is:

8352 = 25 × 32 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 8342 and 8352.

LCM(8342,8352) = 25 × 431 × 971 × 32 × 291
LCM(8342,8352) = 34836192