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What is the Least Common Multiple of 8322 and 8332?

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 8322 and 8332 is 34669452.

LCM(8322,8332) = 34669452

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Least Common Multiple of 8322 and 8332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8322 and 8332, than apply into the LCM equation.

GCF(8322,8332) = 2
LCM(8322,8332) = ( 8322 × 8332) / 2
LCM(8322,8332) = 69338904 / 2
LCM(8322,8332) = 34669452

Least Common Multiple (LCM) of 8322 and 8332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8322 and 8332. First we will calculate the prime factors of 8322 and 8332.

Prime Factorization of 8322

Prime factors of 8322 are 2, 3, 19, 73. Prime factorization of 8322 in exponential form is:

8322 = 21 × 31 × 191 × 731

Prime Factorization of 8332

Prime factors of 8332 are 2, 2083. Prime factorization of 8332 in exponential form is:

8332 = 22 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 8322 and 8332.

LCM(8322,8332) = 22 × 31 × 191 × 731 × 20831
LCM(8322,8332) = 34669452