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What is the Least Common Multiple of 84422 and 84433?

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 84422 and 84433 is 7128002726.

LCM(84422,84433) = 7128002726

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Least Common Multiple of 84422 and 84433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84422 and 84433, than apply into the LCM equation.

GCF(84422,84433) = 1
LCM(84422,84433) = ( 84422 × 84433) / 1
LCM(84422,84433) = 7128002726 / 1
LCM(84422,84433) = 7128002726

Least Common Multiple (LCM) of 84422 and 84433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84422 and 84433. First we will calculate the prime factors of 84422 and 84433.

Prime Factorization of 84422

Prime factors of 84422 are 2, 13, 17, 191. Prime factorization of 84422 in exponential form is:

84422 = 21 × 131 × 171 × 1911

Prime Factorization of 84433

Prime factors of 84433 are 23, 3671. Prime factorization of 84433 in exponential form is:

84433 = 231 × 36711

Now multiplying the highest exponent prime factors to calculate the LCM of 84422 and 84433.

LCM(84422,84433) = 21 × 131 × 171 × 1911 × 231 × 36711
LCM(84422,84433) = 7128002726