What is the Least Common Multiple of 84589 and 84598?
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 84589 and 84598 is 7156060222.
LCM(84589,84598) = 7156060222
Least Common Multiple of 84589 and 84598 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84589 and 84598, than apply into the LCM equation.
GCF(84589,84598) = 1
LCM(84589,84598) = ( 84589 × 84598) / 1
LCM(84589,84598) = 7156060222 / 1
LCM(84589,84598) = 7156060222
Least Common Multiple (LCM) of 84589 and 84598 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84589 and 84598. First we will calculate the prime factors of 84589 and 84598.
Prime Factorization of 84589
Prime factors of 84589 are 84589. Prime factorization of 84589 in exponential form is:
84589 = 845891
Prime Factorization of 84598
Prime factors of 84598 are 2, 42299. Prime factorization of 84598 in exponential form is:
84598 = 21 × 422991
Now multiplying the highest exponent prime factors to calculate the LCM of 84589 and 84598.
LCM(84589,84598) = 845891 × 21 × 422991
LCM(84589,84598) = 7156060222
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