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What is the Least Common Multiple of 6617 and 6632?

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 6632 is 43883944.

LCM(6617,6632) = 43883944

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Least Common Multiple of 6617 and 6632 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 6632, than apply into the LCM equation.

GCF(6617,6632) = 1
LCM(6617,6632) = ( 6617 × 6632) / 1
LCM(6617,6632) = 43883944 / 1
LCM(6617,6632) = 43883944

Least Common Multiple (LCM) of 6617 and 6632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6617 and 6632. First we will calculate the prime factors of 6617 and 6632.

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 6632

Prime factors of 6632 are 2, 829. Prime factorization of 6632 in exponential form is:

6632 = 23 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 6617 and 6632.

LCM(6617,6632) = 131 × 5091 × 23 × 8291
LCM(6617,6632) = 43883944