What is the Least Common Multiple of 18361 and 18376?
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 18361 and 18376 is 337401736.
LCM(18361,18376) = 337401736
Least Common Multiple of 18361 and 18376 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18361 and 18376, than apply into the LCM equation.
GCF(18361,18376) = 1
LCM(18361,18376) = ( 18361 × 18376) / 1
LCM(18361,18376) = 337401736 / 1
LCM(18361,18376) = 337401736
Least Common Multiple (LCM) of 18361 and 18376 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18361 and 18376. First we will calculate the prime factors of 18361 and 18376.
Prime Factorization of 18361
Prime factors of 18361 are 7, 43, 61. Prime factorization of 18361 in exponential form is:
18361 = 71 × 431 × 611
Prime Factorization of 18376
Prime factors of 18376 are 2, 2297. Prime factorization of 18376 in exponential form is:
18376 = 23 × 22971
Now multiplying the highest exponent prime factors to calculate the LCM of 18361 and 18376.
LCM(18361,18376) = 71 × 431 × 611 × 23 × 22971
LCM(18361,18376) = 337401736
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