What is the Least Common Multiple of 84873 and 84886?
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 84873 and 84886 is 7204529478.
LCM(84873,84886) = 7204529478
Least Common Multiple of 84873 and 84886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84873 and 84886, than apply into the LCM equation.
GCF(84873,84886) = 1
LCM(84873,84886) = ( 84873 × 84886) / 1
LCM(84873,84886) = 7204529478 / 1
LCM(84873,84886) = 7204529478
Least Common Multiple (LCM) of 84873 and 84886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84873 and 84886. First we will calculate the prime factors of 84873 and 84886.
Prime Factorization of 84873
Prime factors of 84873 are 3, 19, 1489. Prime factorization of 84873 in exponential form is:
84873 = 31 × 191 × 14891
Prime Factorization of 84886
Prime factors of 84886 are 2, 42443. Prime factorization of 84886 in exponential form is:
84886 = 21 × 424431
Now multiplying the highest exponent prime factors to calculate the LCM of 84873 and 84886.
LCM(84873,84886) = 31 × 191 × 14891 × 21 × 424431
LCM(84873,84886) = 7204529478
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