What is the Least Common Multiple of 17344 and 17349?
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 17344 and 17349 is 300901056.
LCM(17344,17349) = 300901056
Least Common Multiple of 17344 and 17349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17344 and 17349, than apply into the LCM equation.
GCF(17344,17349) = 1
LCM(17344,17349) = ( 17344 × 17349) / 1
LCM(17344,17349) = 300901056 / 1
LCM(17344,17349) = 300901056
Least Common Multiple (LCM) of 17344 and 17349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17344 and 17349. First we will calculate the prime factors of 17344 and 17349.
Prime Factorization of 17344
Prime factors of 17344 are 2, 271. Prime factorization of 17344 in exponential form is:
17344 = 26 × 2711
Prime Factorization of 17349
Prime factors of 17349 are 3, 5783. Prime factorization of 17349 in exponential form is:
17349 = 31 × 57831
Now multiplying the highest exponent prime factors to calculate the LCM of 17344 and 17349.
LCM(17344,17349) = 26 × 2711 × 31 × 57831
LCM(17344,17349) = 300901056
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