What is the Least Common Multiple of 80866 and 80873?
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 80866 and 80873 is 6539876018.
LCM(80866,80873) = 6539876018
Least Common Multiple of 80866 and 80873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80866 and 80873, than apply into the LCM equation.
GCF(80866,80873) = 1
LCM(80866,80873) = ( 80866 × 80873) / 1
LCM(80866,80873) = 6539876018 / 1
LCM(80866,80873) = 6539876018
Least Common Multiple (LCM) of 80866 and 80873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80866 and 80873. First we will calculate the prime factors of 80866 and 80873.
Prime Factorization of 80866
Prime factors of 80866 are 2, 40433. Prime factorization of 80866 in exponential form is:
80866 = 21 × 404331
Prime Factorization of 80873
Prime factors of 80873 are 13, 6221. Prime factorization of 80873 in exponential form is:
80873 = 131 × 62211
Now multiplying the highest exponent prime factors to calculate the LCM of 80866 and 80873.
LCM(80866,80873) = 21 × 404331 × 131 × 62211
LCM(80866,80873) = 6539876018
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