What is the Least Common Multiple of 18359 and 18363?
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 18359 and 18363 is 337126317.
LCM(18359,18363) = 337126317
Least Common Multiple of 18359 and 18363 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18359 and 18363, than apply into the LCM equation.
GCF(18359,18363) = 1
LCM(18359,18363) = ( 18359 × 18363) / 1
LCM(18359,18363) = 337126317 / 1
LCM(18359,18363) = 337126317
Least Common Multiple (LCM) of 18359 and 18363 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18359 and 18363. First we will calculate the prime factors of 18359 and 18363.
Prime Factorization of 18359
Prime factors of 18359 are 11, 1669. Prime factorization of 18359 in exponential form is:
18359 = 111 × 16691
Prime Factorization of 18363
Prime factors of 18363 are 3, 6121. Prime factorization of 18363 in exponential form is:
18363 = 31 × 61211
Now multiplying the highest exponent prime factors to calculate the LCM of 18359 and 18363.
LCM(18359,18363) = 111 × 16691 × 31 × 61211
LCM(18359,18363) = 337126317
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