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What is the Least Common Multiple of 17003 and 17016?

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 17016 is 289323048.

LCM(17003,17016) = 289323048

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Least Common Multiple of 17003 and 17016 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 17016, than apply into the LCM equation.

GCF(17003,17016) = 1
LCM(17003,17016) = ( 17003 × 17016) / 1
LCM(17003,17016) = 289323048 / 1
LCM(17003,17016) = 289323048

Least Common Multiple (LCM) of 17003 and 17016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17003 and 17016. First we will calculate the prime factors of 17003 and 17016.

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 17016

Prime factors of 17016 are 2, 3, 709. Prime factorization of 17016 in exponential form is:

17016 = 23 × 31 × 7091

Now multiplying the highest exponent prime factors to calculate the LCM of 17003 and 17016.

LCM(17003,17016) = 72 × 3471 × 23 × 31 × 7091
LCM(17003,17016) = 289323048