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What is the Least Common Multiple of 18609 and 18623?

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 18609 and 18623 is 346555407.

LCM(18609,18623) = 346555407

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Least Common Multiple of 18609 and 18623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18609 and 18623, than apply into the LCM equation.

GCF(18609,18623) = 1
LCM(18609,18623) = ( 18609 × 18623) / 1
LCM(18609,18623) = 346555407 / 1
LCM(18609,18623) = 346555407

Least Common Multiple (LCM) of 18609 and 18623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18609 and 18623. First we will calculate the prime factors of 18609 and 18623.

Prime Factorization of 18609

Prime factors of 18609 are 3, 6203. Prime factorization of 18609 in exponential form is:

18609 = 31 × 62031

Prime Factorization of 18623

Prime factors of 18623 are 11, 1693. Prime factorization of 18623 in exponential form is:

18623 = 111 × 16931

Now multiplying the highest exponent prime factors to calculate the LCM of 18609 and 18623.

LCM(18609,18623) = 31 × 62031 × 111 × 16931
LCM(18609,18623) = 346555407