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What is the Least Common Multiple of 68782 and 68791?

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 68782 and 68791 is 4731582562.

LCM(68782,68791) = 4731582562

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Least Common Multiple of 68782 and 68791 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68782 and 68791, than apply into the LCM equation.

GCF(68782,68791) = 1
LCM(68782,68791) = ( 68782 × 68791) / 1
LCM(68782,68791) = 4731582562 / 1
LCM(68782,68791) = 4731582562

Least Common Multiple (LCM) of 68782 and 68791 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68782 and 68791. First we will calculate the prime factors of 68782 and 68791.

Prime Factorization of 68782

Prime factors of 68782 are 2, 7, 17. Prime factorization of 68782 in exponential form is:

68782 = 21 × 71 × 173

Prime Factorization of 68791

Prime factors of 68791 are 68791. Prime factorization of 68791 in exponential form is:

68791 = 687911

Now multiplying the highest exponent prime factors to calculate the LCM of 68782 and 68791.

LCM(68782,68791) = 21 × 71 × 173 × 687911
LCM(68782,68791) = 4731582562