What is the Least Common Multiple of 18368 and 18377?
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 18368 and 18377 is 337548736.
LCM(18368,18377) = 337548736
Least Common Multiple of 18368 and 18377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18368 and 18377, than apply into the LCM equation.
GCF(18368,18377) = 1
LCM(18368,18377) = ( 18368 × 18377) / 1
LCM(18368,18377) = 337548736 / 1
LCM(18368,18377) = 337548736
Least Common Multiple (LCM) of 18368 and 18377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18368 and 18377. First we will calculate the prime factors of 18368 and 18377.
Prime Factorization of 18368
Prime factors of 18368 are 2, 7, 41. Prime factorization of 18368 in exponential form is:
18368 = 26 × 71 × 411
Prime Factorization of 18377
Prime factors of 18377 are 17, 23, 47. Prime factorization of 18377 in exponential form is:
18377 = 171 × 231 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 18368 and 18377.
LCM(18368,18377) = 26 × 71 × 411 × 171 × 231 × 471
LCM(18368,18377) = 337548736
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