What is the Least Common Multiple of 18187 and 18201?
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 18187 and 18201 is 331021587.
LCM(18187,18201) = 331021587
Least Common Multiple of 18187 and 18201 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18187 and 18201, than apply into the LCM equation.
GCF(18187,18201) = 1
LCM(18187,18201) = ( 18187 × 18201) / 1
LCM(18187,18201) = 331021587 / 1
LCM(18187,18201) = 331021587
Least Common Multiple (LCM) of 18187 and 18201 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18187 and 18201. First we will calculate the prime factors of 18187 and 18201.
Prime Factorization of 18187
Prime factors of 18187 are 13, 1399. Prime factorization of 18187 in exponential form is:
18187 = 131 × 13991
Prime Factorization of 18201
Prime factors of 18201 are 3, 6067. Prime factorization of 18201 in exponential form is:
18201 = 31 × 60671
Now multiplying the highest exponent prime factors to calculate the LCM of 18187 and 18201.
LCM(18187,18201) = 131 × 13991 × 31 × 60671
LCM(18187,18201) = 331021587
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