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What is the Least Common Multiple of 65005 and 65017?

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 65005 and 65017 is 4226430085.

LCM(65005,65017) = 4226430085

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Least Common Multiple of 65005 and 65017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65005 and 65017, than apply into the LCM equation.

GCF(65005,65017) = 1
LCM(65005,65017) = ( 65005 × 65017) / 1
LCM(65005,65017) = 4226430085 / 1
LCM(65005,65017) = 4226430085

Least Common Multiple (LCM) of 65005 and 65017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65005 and 65017. First we will calculate the prime factors of 65005 and 65017.

Prime Factorization of 65005

Prime factors of 65005 are 5, 13001. Prime factorization of 65005 in exponential form is:

65005 = 51 × 130011

Prime Factorization of 65017

Prime factors of 65017 are 79, 823. Prime factorization of 65017 in exponential form is:

65017 = 791 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 65005 and 65017.

LCM(65005,65017) = 51 × 130011 × 791 × 8231
LCM(65005,65017) = 4226430085