What is the Least Common Multiple of 80798 and 80803?
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 80798 and 80803 is 6528720794.
LCM(80798,80803) = 6528720794
Least Common Multiple of 80798 and 80803 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80798 and 80803, than apply into the LCM equation.
GCF(80798,80803) = 1
LCM(80798,80803) = ( 80798 × 80803) / 1
LCM(80798,80803) = 6528720794 / 1
LCM(80798,80803) = 6528720794
Least Common Multiple (LCM) of 80798 and 80803 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 80798 and 80803. First we will calculate the prime factors of 80798 and 80803.
Prime Factorization of 80798
Prime factors of 80798 are 2, 71, 569. Prime factorization of 80798 in exponential form is:
80798 = 21 × 711 × 5691
Prime Factorization of 80803
Prime factors of 80803 are 80803. Prime factorization of 80803 in exponential form is:
80803 = 808031
Now multiplying the highest exponent prime factors to calculate the LCM of 80798 and 80803.
LCM(80798,80803) = 21 × 711 × 5691 × 808031
LCM(80798,80803) = 6528720794
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