What is the Least Common Multiple of 80581 and 80594?
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 80581 and 80594 is 6494345114.
LCM(80581,80594) = 6494345114
Least Common Multiple of 80581 and 80594 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80581 and 80594, than apply into the LCM equation.
GCF(80581,80594) = 1
LCM(80581,80594) = ( 80581 × 80594) / 1
LCM(80581,80594) = 6494345114 / 1
LCM(80581,80594) = 6494345114
Least Common Multiple (LCM) of 80581 and 80594 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80581 and 80594. First we will calculate the prime factors of 80581 and 80594.
Prime Factorization of 80581
Prime factors of 80581 are 61, 1321. Prime factorization of 80581 in exponential form is:
80581 = 611 × 13211
Prime Factorization of 80594
Prime factors of 80594 are 2, 59, 683. Prime factorization of 80594 in exponential form is:
80594 = 21 × 591 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 80581 and 80594.
LCM(80581,80594) = 611 × 13211 × 21 × 591 × 6831
LCM(80581,80594) = 6494345114
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