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What is the Least Common Multiple of 66782 and 66791?

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 66782 and 66791 is 4460436562.

LCM(66782,66791) = 4460436562

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Least Common Multiple of 66782 and 66791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66782 and 66791, than apply into the LCM equation.

GCF(66782,66791) = 1
LCM(66782,66791) = ( 66782 × 66791) / 1
LCM(66782,66791) = 4460436562 / 1
LCM(66782,66791) = 4460436562

Least Common Multiple (LCM) of 66782 and 66791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66782 and 66791. First we will calculate the prime factors of 66782 and 66791.

Prime Factorization of 66782

Prime factors of 66782 are 2, 33391. Prime factorization of 66782 in exponential form is:

66782 = 21 × 333911

Prime Factorization of 66791

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

66791 = 667911

Now multiplying the highest exponent prime factors to calculate the LCM of 66782 and 66791.

LCM(66782,66791) = 21 × 333911 × 667911
LCM(66782,66791) = 4460436562