What is the Least Common Multiple of 17274 and 17281?
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 17274 and 17281 is 298511994.
LCM(17274,17281) = 298511994
Least Common Multiple of 17274 and 17281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17274 and 17281, than apply into the LCM equation.
GCF(17274,17281) = 1
LCM(17274,17281) = ( 17274 × 17281) / 1
LCM(17274,17281) = 298511994 / 1
LCM(17274,17281) = 298511994
Least Common Multiple (LCM) of 17274 and 17281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17274 and 17281. First we will calculate the prime factors of 17274 and 17281.
Prime Factorization of 17274
Prime factors of 17274 are 2, 3, 2879. Prime factorization of 17274 in exponential form is:
17274 = 21 × 31 × 28791
Prime Factorization of 17281
Prime factors of 17281 are 11, 1571. Prime factorization of 17281 in exponential form is:
17281 = 111 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 17274 and 17281.
LCM(17274,17281) = 21 × 31 × 28791 × 111 × 15711
LCM(17274,17281) = 298511994
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