What is the Least Common Multiple of 84313 and 84322?
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 84313 and 84322 is 7109440786.
LCM(84313,84322) = 7109440786
Least Common Multiple of 84313 and 84322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84313 and 84322, than apply into the LCM equation.
GCF(84313,84322) = 1
LCM(84313,84322) = ( 84313 × 84322) / 1
LCM(84313,84322) = 7109440786 / 1
LCM(84313,84322) = 7109440786
Least Common Multiple (LCM) of 84313 and 84322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84313 and 84322. First we will calculate the prime factors of 84313 and 84322.
Prime Factorization of 84313
Prime factors of 84313 are 84313. Prime factorization of 84313 in exponential form is:
84313 = 843131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 84313 and 84322.
LCM(84313,84322) = 843131 × 21 × 71 × 191 × 3171
LCM(84313,84322) = 7109440786
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