What is the Least Common Multiple of 84857 and 84867?
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 84857 and 84867 is 7201559019.
LCM(84857,84867) = 7201559019
Least Common Multiple of 84857 and 84867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84857 and 84867, than apply into the LCM equation.
GCF(84857,84867) = 1
LCM(84857,84867) = ( 84857 × 84867) / 1
LCM(84857,84867) = 7201559019 / 1
LCM(84857,84867) = 7201559019
Least Common Multiple (LCM) of 84857 and 84867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84857 and 84867. First we will calculate the prime factors of 84857 and 84867.
Prime Factorization of 84857
Prime factors of 84857 are 84857. Prime factorization of 84857 in exponential form is:
84857 = 848571
Prime Factorization of 84867
Prime factors of 84867 are 3, 28289. Prime factorization of 84867 in exponential form is:
84867 = 31 × 282891
Now multiplying the highest exponent prime factors to calculate the LCM of 84857 and 84867.
LCM(84857,84867) = 848571 × 31 × 282891
LCM(84857,84867) = 7201559019
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