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What is the Least Common Multiple of 17489 and 17493?

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 17489 and 17493 is 305935077.

LCM(17489,17493) = 305935077

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Least Common Multiple of 17489 and 17493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17489 and 17493, than apply into the LCM equation.

GCF(17489,17493) = 1
LCM(17489,17493) = ( 17489 × 17493) / 1
LCM(17489,17493) = 305935077 / 1
LCM(17489,17493) = 305935077

Least Common Multiple (LCM) of 17489 and 17493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17489 and 17493. First we will calculate the prime factors of 17489 and 17493.

Prime Factorization of 17489

Prime factors of 17489 are 17489. Prime factorization of 17489 in exponential form is:

17489 = 174891

Prime Factorization of 17493

Prime factors of 17493 are 3, 7, 17. Prime factorization of 17493 in exponential form is:

17493 = 31 × 73 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 17489 and 17493.

LCM(17489,17493) = 174891 × 31 × 73 × 171
LCM(17489,17493) = 305935077