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What is the Least Common Multiple of 17003 and 17011?

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 17003 and 17011 is 289238033.

LCM(17003,17011) = 289238033

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Least Common Multiple of 17003 and 17011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17003 and 17011, than apply into the LCM equation.

GCF(17003,17011) = 1
LCM(17003,17011) = ( 17003 × 17011) / 1
LCM(17003,17011) = 289238033 / 1
LCM(17003,17011) = 289238033

Least Common Multiple (LCM) of 17003 and 17011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17003 and 17011. First we will calculate the prime factors of 17003 and 17011.

Prime Factorization of 17003

Prime factors of 17003 are 7, 347. Prime factorization of 17003 in exponential form is:

17003 = 72 × 3471

Prime Factorization of 17011

Prime factors of 17011 are 17011. Prime factorization of 17011 in exponential form is:

17011 = 170111

Now multiplying the highest exponent prime factors to calculate the LCM of 17003 and 17011.

LCM(17003,17011) = 72 × 3471 × 170111
LCM(17003,17011) = 289238033