What is the Least Common Multiple of 18182 and 18187?
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 18182 and 18187 is 330676034.
LCM(18182,18187) = 330676034
Least Common Multiple of 18182 and 18187 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18182 and 18187, than apply into the LCM equation.
GCF(18182,18187) = 1
LCM(18182,18187) = ( 18182 × 18187) / 1
LCM(18182,18187) = 330676034 / 1
LCM(18182,18187) = 330676034
Least Common Multiple (LCM) of 18182 and 18187 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18182 and 18187. First we will calculate the prime factors of 18182 and 18187.
Prime Factorization of 18182
Prime factors of 18182 are 2, 9091. Prime factorization of 18182 in exponential form is:
18182 = 21 × 90911
Prime Factorization of 18187
Prime factors of 18187 are 13, 1399. Prime factorization of 18187 in exponential form is:
18187 = 131 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 18182 and 18187.
LCM(18182,18187) = 21 × 90911 × 131 × 13991
LCM(18182,18187) = 330676034
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