What is the Least Common Multiple of 18359 and 18364?
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 18364 is 337144676.
LCM(18359,18364) = 337144676
Least Common Multiple of 18359 and 18364 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 18364, than apply into the LCM equation.
GCF(18359,18364) = 1
LCM(18359,18364) = ( 18359 × 18364) / 1
LCM(18359,18364) = 337144676 / 1
LCM(18359,18364) = 337144676
Least Common Multiple (LCM) of 18359 and 18364 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18359 and 18364. First we will calculate the prime factors of 18359 and 18364.
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 18364
Prime factors of 18364 are 2, 4591. Prime factorization of 18364 in exponential form is:
18364 = 22 × 45911
Now multiplying the highest exponent prime factors to calculate the LCM of 18359 and 18364.
LCM(18359,18364) = 111 × 16691 × 22 × 45911
LCM(18359,18364) = 337144676
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