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What is the Least Common Multiple of 80785 and 80804?

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 80785 and 80804 is 6527751140.

LCM(80785,80804) = 6527751140

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Least Common Multiple of 80785 and 80804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80785 and 80804, than apply into the LCM equation.

GCF(80785,80804) = 1
LCM(80785,80804) = ( 80785 × 80804) / 1
LCM(80785,80804) = 6527751140 / 1
LCM(80785,80804) = 6527751140

Least Common Multiple (LCM) of 80785 and 80804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80785 and 80804. First we will calculate the prime factors of 80785 and 80804.

Prime Factorization of 80785

Prime factors of 80785 are 5, 107, 151. Prime factorization of 80785 in exponential form is:

80785 = 51 × 1071 × 1511

Prime Factorization of 80804

Prime factors of 80804 are 2, 20201. Prime factorization of 80804 in exponential form is:

80804 = 22 × 202011

Now multiplying the highest exponent prime factors to calculate the LCM of 80785 and 80804.

LCM(80785,80804) = 51 × 1071 × 1511 × 22 × 202011
LCM(80785,80804) = 6527751140