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What is the Least Common Multiple of 51647 and 51655?

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 51647 and 51655 is 2667825785.

LCM(51647,51655) = 2667825785

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Least Common Multiple of 51647 and 51655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51647 and 51655, than apply into the LCM equation.

GCF(51647,51655) = 1
LCM(51647,51655) = ( 51647 × 51655) / 1
LCM(51647,51655) = 2667825785 / 1
LCM(51647,51655) = 2667825785

Least Common Multiple (LCM) of 51647 and 51655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51647 and 51655. First we will calculate the prime factors of 51647 and 51655.

Prime Factorization of 51647

Prime factors of 51647 are 51647. Prime factorization of 51647 in exponential form is:

51647 = 516471

Prime Factorization of 51655

Prime factors of 51655 are 5, 10331. Prime factorization of 51655 in exponential form is:

51655 = 51 × 103311

Now multiplying the highest exponent prime factors to calculate the LCM of 51647 and 51655.

LCM(51647,51655) = 516471 × 51 × 103311
LCM(51647,51655) = 2667825785