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What is the Least Common Multiple of 18077 and 18083?

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 18083 is 326886391.

LCM(18077,18083) = 326886391

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Least Common Multiple of 18077 and 18083 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 18083, than apply into the LCM equation.

GCF(18077,18083) = 1
LCM(18077,18083) = ( 18077 × 18083) / 1
LCM(18077,18083) = 326886391 / 1
LCM(18077,18083) = 326886391

Least Common Multiple (LCM) of 18077 and 18083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18077 and 18083. First we will calculate the prime factors of 18077 and 18083.

Prime Factorization of 18077

Prime factors of 18077 are 18077. Prime factorization of 18077 in exponential form is:

18077 = 180771

Prime Factorization of 18083

Prime factors of 18083 are 13, 107. Prime factorization of 18083 in exponential form is:

18083 = 132 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 18077 and 18083.

LCM(18077,18083) = 180771 × 132 × 1071
LCM(18077,18083) = 326886391