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What is the Least Common Multiple of 18663 and 18677?

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 18663 and 18677 is 348568851.

LCM(18663,18677) = 348568851

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Least Common Multiple of 18663 and 18677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18663 and 18677, than apply into the LCM equation.

GCF(18663,18677) = 1
LCM(18663,18677) = ( 18663 × 18677) / 1
LCM(18663,18677) = 348568851 / 1
LCM(18663,18677) = 348568851

Least Common Multiple (LCM) of 18663 and 18677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18663 and 18677. First we will calculate the prime factors of 18663 and 18677.

Prime Factorization of 18663

Prime factors of 18663 are 3, 6221. Prime factorization of 18663 in exponential form is:

18663 = 31 × 62211

Prime Factorization of 18677

Prime factors of 18677 are 19, 983. Prime factorization of 18677 in exponential form is:

18677 = 191 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 18663 and 18677.

LCM(18663,18677) = 31 × 62211 × 191 × 9831
LCM(18663,18677) = 348568851