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What is the Least Common Multiple of 84322 and 84326?

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 84322 and 84326 is 3555268486.

LCM(84322,84326) = 3555268486

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Least Common Multiple of 84322 and 84326 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84322 and 84326, than apply into the LCM equation.

GCF(84322,84326) = 2
LCM(84322,84326) = ( 84322 × 84326) / 2
LCM(84322,84326) = 7110536972 / 2
LCM(84322,84326) = 3555268486

Least Common Multiple (LCM) of 84322 and 84326 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84322 and 84326. First we will calculate the prime factors of 84322 and 84326.

Prime Factorization of 84322

Prime factors of 84322 are 2, 7, 19, 317. Prime factorization of 84322 in exponential form is:

84322 = 21 × 71 × 191 × 3171

Prime Factorization of 84326

Prime factors of 84326 are 2, 11, 3833. Prime factorization of 84326 in exponential form is:

84326 = 21 × 111 × 38331

Now multiplying the highest exponent prime factors to calculate the LCM of 84322 and 84326.

LCM(84322,84326) = 21 × 71 × 191 × 3171 × 111 × 38331
LCM(84322,84326) = 3555268486