What is the Least Common Multiple of 6581 and 6599?
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 6581 and 6599 is 43428019.
LCM(6581,6599) = 43428019
Least Common Multiple of 6581 and 6599 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6581 and 6599, than apply into the LCM equation.
GCF(6581,6599) = 1
LCM(6581,6599) = ( 6581 × 6599) / 1
LCM(6581,6599) = 43428019 / 1
LCM(6581,6599) = 43428019
Least Common Multiple (LCM) of 6581 and 6599 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6581 and 6599. First we will calculate the prime factors of 6581 and 6599.
Prime Factorization of 6581
Prime factors of 6581 are 6581. Prime factorization of 6581 in exponential form is:
6581 = 65811
Prime Factorization of 6599
Prime factors of 6599 are 6599. Prime factorization of 6599 in exponential form is:
6599 = 65991
Now multiplying the highest exponent prime factors to calculate the LCM of 6581 and 6599.
LCM(6581,6599) = 65811 × 65991
LCM(6581,6599) = 43428019
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