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What is the Least Common Multiple of 17647 and 17653?

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 17647 and 17653 is 311522491.

LCM(17647,17653) = 311522491

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Least Common Multiple of 17647 and 17653 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17647 and 17653, than apply into the LCM equation.

GCF(17647,17653) = 1
LCM(17647,17653) = ( 17647 × 17653) / 1
LCM(17647,17653) = 311522491 / 1
LCM(17647,17653) = 311522491

Least Common Multiple (LCM) of 17647 and 17653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17647 and 17653. First we will calculate the prime factors of 17647 and 17653.

Prime Factorization of 17647

Prime factors of 17647 are 7, 2521. Prime factorization of 17647 in exponential form is:

17647 = 71 × 25211

Prime Factorization of 17653

Prime factors of 17653 are 127, 139. Prime factorization of 17653 in exponential form is:

17653 = 1271 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 17647 and 17653.

LCM(17647,17653) = 71 × 25211 × 1271 × 1391
LCM(17647,17653) = 311522491