What is the Least Common Multiple of 80861 and 80866?
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 80861 and 80866 is 6538905626.
LCM(80861,80866) = 6538905626
Least Common Multiple of 80861 and 80866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80861 and 80866, than apply into the LCM equation.
GCF(80861,80866) = 1
LCM(80861,80866) = ( 80861 × 80866) / 1
LCM(80861,80866) = 6538905626 / 1
LCM(80861,80866) = 6538905626
Least Common Multiple (LCM) of 80861 and 80866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80861 and 80866. First we will calculate the prime factors of 80861 and 80866.
Prime Factorization of 80861
Prime factors of 80861 are 11, 7351. Prime factorization of 80861 in exponential form is:
80861 = 111 × 73511
Prime Factorization of 80866
Prime factors of 80866 are 2, 40433. Prime factorization of 80866 in exponential form is:
80866 = 21 × 404331
Now multiplying the highest exponent prime factors to calculate the LCM of 80861 and 80866.
LCM(80861,80866) = 111 × 73511 × 21 × 404331
LCM(80861,80866) = 6538905626
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