What is the Least Common Multiple of 18381 and 18391?
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 18381 and 18391 is 338044971.
LCM(18381,18391) = 338044971
Least Common Multiple of 18381 and 18391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18381 and 18391, than apply into the LCM equation.
GCF(18381,18391) = 1
LCM(18381,18391) = ( 18381 × 18391) / 1
LCM(18381,18391) = 338044971 / 1
LCM(18381,18391) = 338044971
Least Common Multiple (LCM) of 18381 and 18391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18381 and 18391. First we will calculate the prime factors of 18381 and 18391.
Prime Factorization of 18381
Prime factors of 18381 are 3, 11, 557. Prime factorization of 18381 in exponential form is:
18381 = 31 × 111 × 5571
Prime Factorization of 18391
Prime factors of 18391 are 53, 347. Prime factorization of 18391 in exponential form is:
18391 = 531 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 18381 and 18391.
LCM(18381,18391) = 31 × 111 × 5571 × 531 × 3471
LCM(18381,18391) = 338044971
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