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What is the Least Common Multiple of 6617 and 6623?

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 6617 and 6623 is 43824391.

LCM(6617,6623) = 43824391

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Least Common Multiple of 6617 and 6623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6617 and 6623, than apply into the LCM equation.

GCF(6617,6623) = 1
LCM(6617,6623) = ( 6617 × 6623) / 1
LCM(6617,6623) = 43824391 / 1
LCM(6617,6623) = 43824391

Least Common Multiple (LCM) of 6617 and 6623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6623. First we will calculate the prime factors of 6617 and 6623.

Prime Factorization of 6617

Prime factors of 6617 are 13, 509. Prime factorization of 6617 in exponential form is:

6617 = 131 × 5091

Prime Factorization of 6623

Prime factors of 6623 are 37, 179. Prime factorization of 6623 in exponential form is:

6623 = 371 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6623.

LCM(6617,6623) = 131 × 5091 × 371 × 1791
LCM(6617,6623) = 43824391