What is the Least Common Multiple of 18399 and 18416?
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 18399 and 18416 is 338835984.
LCM(18399,18416) = 338835984
Least Common Multiple of 18399 and 18416 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18399 and 18416, than apply into the LCM equation.
GCF(18399,18416) = 1
LCM(18399,18416) = ( 18399 × 18416) / 1
LCM(18399,18416) = 338835984 / 1
LCM(18399,18416) = 338835984
Least Common Multiple (LCM) of 18399 and 18416 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18399 and 18416. First we will calculate the prime factors of 18399 and 18416.
Prime Factorization of 18399
Prime factors of 18399 are 3, 6133. Prime factorization of 18399 in exponential form is:
18399 = 31 × 61331
Prime Factorization of 18416
Prime factors of 18416 are 2, 1151. Prime factorization of 18416 in exponential form is:
18416 = 24 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 18399 and 18416.
LCM(18399,18416) = 31 × 61331 × 24 × 11511
LCM(18399,18416) = 338835984
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