What is the Least Common Multiple of 80863 and 80881?
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 80863 and 80881 is 6540280303.
LCM(80863,80881) = 6540280303
Least Common Multiple of 80863 and 80881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80863 and 80881, than apply into the LCM equation.
GCF(80863,80881) = 1
LCM(80863,80881) = ( 80863 × 80881) / 1
LCM(80863,80881) = 6540280303 / 1
LCM(80863,80881) = 6540280303
Least Common Multiple (LCM) of 80863 and 80881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80863 and 80881. First we will calculate the prime factors of 80863 and 80881.
Prime Factorization of 80863
Prime factors of 80863 are 80863. Prime factorization of 80863 in exponential form is:
80863 = 808631
Prime Factorization of 80881
Prime factors of 80881 are 29, 2789. Prime factorization of 80881 in exponential form is:
80881 = 291 × 27891
Now multiplying the highest exponent prime factors to calculate the LCM of 80863 and 80881.
LCM(80863,80881) = 808631 × 291 × 27891
LCM(80863,80881) = 6540280303
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