What is the Least Common Multiple of 18387 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 18387 and 18399 is 112767471.
LCM(18387,18399) = 112767471
Least Common Multiple of 18387 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 18387 and 18399, than apply into the LCM equation.
GCF(18387,18399) = 3
LCM(18387,18399) = ( 18387 × 18399) / 3
LCM(18387,18399) = 338302413 / 3
LCM(18387,18399) = 112767471
Least Common Multiple (LCM) of 18387 and 18399 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18387 and 18399. First we will calculate the prime factors of 18387 and 18399.
Prime Factorization of 18387
Prime factors of 18387 are 3, 227. Prime factorization of 18387 in exponential form is:
18387 = 34 × 2271
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 18387 and 18399.
LCM(18387,18399) = 34 × 2271 × 61331
LCM(18387,18399) = 112767471
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