What is the Least Common Multiple of 18359 and 18379?
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 18379 is 337420061.
LCM(18359,18379) = 337420061
Least Common Multiple of 18359 and 18379 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 18379, than apply into the LCM equation.
GCF(18359,18379) = 1
LCM(18359,18379) = ( 18359 × 18379) / 1
LCM(18359,18379) = 337420061 / 1
LCM(18359,18379) = 337420061
Least Common Multiple (LCM) of 18359 and 18379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18359 and 18379. First we will calculate the prime factors of 18359 and 18379.
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 18379
Prime factors of 18379 are 18379. Prime factorization of 18379 in exponential form is:
18379 = 183791
Now multiplying the highest exponent prime factors to calculate the LCM of 18359 and 18379.
LCM(18359,18379) = 111 × 16691 × 183791
LCM(18359,18379) = 337420061
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