What is the Least Common Multiple of 17329 and 17338?
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 17329 and 17338 is 300450202.
LCM(17329,17338) = 300450202
Least Common Multiple of 17329 and 17338 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17329 and 17338, than apply into the LCM equation.
GCF(17329,17338) = 1
LCM(17329,17338) = ( 17329 × 17338) / 1
LCM(17329,17338) = 300450202 / 1
LCM(17329,17338) = 300450202
Least Common Multiple (LCM) of 17329 and 17338 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17329 and 17338. First we will calculate the prime factors of 17329 and 17338.
Prime Factorization of 17329
Prime factors of 17329 are 13, 31, 43. Prime factorization of 17329 in exponential form is:
17329 = 131 × 311 × 431
Prime Factorization of 17338
Prime factors of 17338 are 2, 8669. Prime factorization of 17338 in exponential form is:
17338 = 21 × 86691
Now multiplying the highest exponent prime factors to calculate the LCM of 17329 and 17338.
LCM(17329,17338) = 131 × 311 × 431 × 21 × 86691
LCM(17329,17338) = 300450202
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