What is the Least Common Multiple of 18303 and 18322?
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 18303 and 18322 is 335347566.
LCM(18303,18322) = 335347566
Least Common Multiple of 18303 and 18322 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18303 and 18322, than apply into the LCM equation.
GCF(18303,18322) = 1
LCM(18303,18322) = ( 18303 × 18322) / 1
LCM(18303,18322) = 335347566 / 1
LCM(18303,18322) = 335347566
Least Common Multiple (LCM) of 18303 and 18322 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18303 and 18322. First we will calculate the prime factors of 18303 and 18322.
Prime Factorization of 18303
Prime factors of 18303 are 3, 6101. Prime factorization of 18303 in exponential form is:
18303 = 31 × 61011
Prime Factorization of 18322
Prime factors of 18322 are 2, 9161. Prime factorization of 18322 in exponential form is:
18322 = 21 × 91611
Now multiplying the highest exponent prime factors to calculate the LCM of 18303 and 18322.
LCM(18303,18322) = 31 × 61011 × 21 × 91611
LCM(18303,18322) = 335347566
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