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What is the Least Common Multiple of 66791 and 66804?

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 66791 and 66804 is 4461905964.

LCM(66791,66804) = 4461905964

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Least Common Multiple of 66791 and 66804 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66791 and 66804, than apply into the LCM equation.

GCF(66791,66804) = 1
LCM(66791,66804) = ( 66791 × 66804) / 1
LCM(66791,66804) = 4461905964 / 1
LCM(66791,66804) = 4461905964

Least Common Multiple (LCM) of 66791 and 66804 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66791 and 66804. First we will calculate the prime factors of 66791 and 66804.

Prime Factorization of 66791

Prime factors of 66791 are 66791. Prime factorization of 66791 in exponential form is:

66791 = 667911

Prime Factorization of 66804

Prime factors of 66804 are 2, 3, 19, 293. Prime factorization of 66804 in exponential form is:

66804 = 22 × 31 × 191 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 66791 and 66804.

LCM(66791,66804) = 667911 × 22 × 31 × 191 × 2931
LCM(66791,66804) = 4461905964