What is the Least Common Multiple of 80595 and 80611?
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 80595 and 80611 is 6496843545.
LCM(80595,80611) = 6496843545
Least Common Multiple of 80595 and 80611 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80595 and 80611, than apply into the LCM equation.
GCF(80595,80611) = 1
LCM(80595,80611) = ( 80595 × 80611) / 1
LCM(80595,80611) = 6496843545 / 1
LCM(80595,80611) = 6496843545
Least Common Multiple (LCM) of 80595 and 80611 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80595 and 80611. First we will calculate the prime factors of 80595 and 80611.
Prime Factorization of 80595
Prime factors of 80595 are 3, 5, 199. Prime factorization of 80595 in exponential form is:
80595 = 34 × 51 × 1991
Prime Factorization of 80611
Prime factors of 80611 are 80611. Prime factorization of 80611 in exponential form is:
80611 = 806111
Now multiplying the highest exponent prime factors to calculate the LCM of 80595 and 80611.
LCM(80595,80611) = 34 × 51 × 1991 × 806111
LCM(80595,80611) = 6496843545
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