What is the Least Common Multiple of 18077 and 18081?
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 18077 and 18081 is 326850237.
LCM(18077,18081) = 326850237
Least Common Multiple of 18077 and 18081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18077 and 18081, than apply into the LCM equation.
GCF(18077,18081) = 1
LCM(18077,18081) = ( 18077 × 18081) / 1
LCM(18077,18081) = 326850237 / 1
LCM(18077,18081) = 326850237
Least Common Multiple (LCM) of 18077 and 18081 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18077 and 18081. First we will calculate the prime factors of 18077 and 18081.
Prime Factorization of 18077
Prime factors of 18077 are 18077. Prime factorization of 18077 in exponential form is:
18077 = 180771
Prime Factorization of 18081
Prime factors of 18081 are 3, 7, 41. Prime factorization of 18081 in exponential form is:
18081 = 32 × 72 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 18077 and 18081.
LCM(18077,18081) = 180771 × 32 × 72 × 411
LCM(18077,18081) = 326850237
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