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What is the Least Common Multiple of 68782 and 68797?

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 68797 is 4731995254.

LCM(68782,68797) = 4731995254

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Least Common Multiple of 68782 and 68797 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 68797, than apply into the LCM equation.

GCF(68782,68797) = 1
LCM(68782,68797) = ( 68782 × 68797) / 1
LCM(68782,68797) = 4731995254 / 1
LCM(68782,68797) = 4731995254

Least Common Multiple (LCM) of 68782 and 68797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68782 and 68797. First we will calculate the prime factors of 68782 and 68797.

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 68797

Prime factors of 68797 are 89, 773. Prime factorization of 68797 in exponential form is:

68797 = 891 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 68782 and 68797.

LCM(68782,68797) = 21 × 71 × 173 × 891 × 7731
LCM(68782,68797) = 4731995254