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What is the Least Common Multiple of 18609 and 18616?

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 18616 is 346425144.

LCM(18609,18616) = 346425144

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Least Common Multiple of 18609 and 18616 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 18616, than apply into the LCM equation.

GCF(18609,18616) = 1
LCM(18609,18616) = ( 18609 × 18616) / 1
LCM(18609,18616) = 346425144 / 1
LCM(18609,18616) = 346425144

Least Common Multiple (LCM) of 18609 and 18616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18609 and 18616. First we will calculate the prime factors of 18609 and 18616.

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 18616

Prime factors of 18616 are 2, 13, 179. Prime factorization of 18616 in exponential form is:

18616 = 23 × 131 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 18609 and 18616.

LCM(18609,18616) = 31 × 62031 × 23 × 131 × 1791
LCM(18609,18616) = 346425144