What is the Least Common Multiple of 18391 and 18399?
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 18391 and 18399 is 338376009.
LCM(18391,18399) = 338376009
Least Common Multiple of 18391 and 18399 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18391 and 18399, than apply into the LCM equation.
GCF(18391,18399) = 1
LCM(18391,18399) = ( 18391 × 18399) / 1
LCM(18391,18399) = 338376009 / 1
LCM(18391,18399) = 338376009
Least Common Multiple (LCM) of 18391 and 18399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18391 and 18399. First we will calculate the prime factors of 18391 and 18399.
Prime Factorization of 18391
Prime factors of 18391 are 53, 347. Prime factorization of 18391 in exponential form is:
18391 = 531 × 3471
Prime Factorization of 18399
Prime factors of 18399 are 3, 6133. Prime factorization of 18399 in exponential form is:
18399 = 31 × 61331
Now multiplying the highest exponent prime factors to calculate the LCM of 18391 and 18399.
LCM(18391,18399) = 531 × 3471 × 31 × 61331
LCM(18391,18399) = 338376009
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