What is the Least Common Multiple of 80866 and 80876?
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 80876 is 3270059308.
LCM(80866,80876) = 3270059308
Least Common Multiple of 80866 and 80876 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 80876, than apply into the LCM equation.
GCF(80866,80876) = 2
LCM(80866,80876) = ( 80866 × 80876) / 2
LCM(80866,80876) = 6540118616 / 2
LCM(80866,80876) = 3270059308
Least Common Multiple (LCM) of 80866 and 80876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80866 and 80876. First we will calculate the prime factors of 80866 and 80876.
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 80876
Prime factors of 80876 are 2, 20219. Prime factorization of 80876 in exponential form is:
80876 = 22 × 202191
Now multiplying the highest exponent prime factors to calculate the LCM of 80866 and 80876.
LCM(80866,80876) = 22 × 404331 × 202191
LCM(80866,80876) = 3270059308
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