What is the Least Common Multiple of 17349 and 17363?
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 17349 and 17363 is 301230687.
LCM(17349,17363) = 301230687
Least Common Multiple of 17349 and 17363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17349 and 17363, than apply into the LCM equation.
GCF(17349,17363) = 1
LCM(17349,17363) = ( 17349 × 17363) / 1
LCM(17349,17363) = 301230687 / 1
LCM(17349,17363) = 301230687
Least Common Multiple (LCM) of 17349 and 17363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17349 and 17363. First we will calculate the prime factors of 17349 and 17363.
Prime Factorization of 17349
Prime factors of 17349 are 3, 5783. Prime factorization of 17349 in exponential form is:
17349 = 31 × 57831
Prime Factorization of 17363
Prime factors of 17363 are 97, 179. Prime factorization of 17363 in exponential form is:
17363 = 971 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 17349 and 17363.
LCM(17349,17363) = 31 × 57831 × 971 × 1791
LCM(17349,17363) = 301230687
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