What is the Least Common Multiple of 17267 and 17282?
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 17267 and 17282 is 298408294.
LCM(17267,17282) = 298408294
Least Common Multiple of 17267 and 17282 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17267 and 17282, than apply into the LCM equation.
GCF(17267,17282) = 1
LCM(17267,17282) = ( 17267 × 17282) / 1
LCM(17267,17282) = 298408294 / 1
LCM(17267,17282) = 298408294
Least Common Multiple (LCM) of 17267 and 17282 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17267 and 17282. First we will calculate the prime factors of 17267 and 17282.
Prime Factorization of 17267
Prime factors of 17267 are 31, 557. Prime factorization of 17267 in exponential form is:
17267 = 311 × 5571
Prime Factorization of 17282
Prime factors of 17282 are 2, 8641. Prime factorization of 17282 in exponential form is:
17282 = 21 × 86411
Now multiplying the highest exponent prime factors to calculate the LCM of 17267 and 17282.
LCM(17267,17282) = 311 × 5571 × 21 × 86411
LCM(17267,17282) = 298408294
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