What is the Least Common Multiple of 17274 and 17285?
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 17285 is 298581090.
LCM(17274,17285) = 298581090
Least Common Multiple of 17274 and 17285 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 17285, than apply into the LCM equation.
GCF(17274,17285) = 1
LCM(17274,17285) = ( 17274 × 17285) / 1
LCM(17274,17285) = 298581090 / 1
LCM(17274,17285) = 298581090
Least Common Multiple (LCM) of 17274 and 17285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17274 and 17285. First we will calculate the prime factors of 17274 and 17285.
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 17285
Prime factors of 17285 are 5, 3457. Prime factorization of 17285 in exponential form is:
17285 = 51 × 34571
Now multiplying the highest exponent prime factors to calculate the LCM of 17274 and 17285.
LCM(17274,17285) = 21 × 31 × 28791 × 51 × 34571
LCM(17274,17285) = 298581090
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