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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

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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