What is the Least Common Multiple of 18393 and 18398?
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 18393 and 18398 is 338394414.
LCM(18393,18398) = 338394414
Least Common Multiple of 18393 and 18398 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18393 and 18398, than apply into the LCM equation.
GCF(18393,18398) = 1
LCM(18393,18398) = ( 18393 × 18398) / 1
LCM(18393,18398) = 338394414 / 1
LCM(18393,18398) = 338394414
Least Common Multiple (LCM) of 18393 and 18398 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18393 and 18398. First we will calculate the prime factors of 18393 and 18398.
Prime Factorization of 18393
Prime factors of 18393 are 3, 6131. Prime factorization of 18393 in exponential form is:
18393 = 31 × 61311
Prime Factorization of 18398
Prime factors of 18398 are 2, 9199. Prime factorization of 18398 in exponential form is:
18398 = 21 × 91991
Now multiplying the highest exponent prime factors to calculate the LCM of 18393 and 18398.
LCM(18393,18398) = 31 × 61311 × 21 × 91991
LCM(18393,18398) = 338394414
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