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What is the Least Common Multiple of 18179 and 18187?

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 18179 and 18187 is 330621473.

LCM(18179,18187) = 330621473

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Least Common Multiple of 18179 and 18187 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18179 and 18187, than apply into the LCM equation.

GCF(18179,18187) = 1
LCM(18179,18187) = ( 18179 × 18187) / 1
LCM(18179,18187) = 330621473 / 1
LCM(18179,18187) = 330621473

Least Common Multiple (LCM) of 18179 and 18187 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18179 and 18187. First we will calculate the prime factors of 18179 and 18187.

Prime Factorization of 18179

Prime factors of 18179 are 7, 53. Prime factorization of 18179 in exponential form is:

18179 = 73 × 531

Prime Factorization of 18187

Prime factors of 18187 are 13, 1399. Prime factorization of 18187 in exponential form is:

18187 = 131 × 13991

Now multiplying the highest exponent prime factors to calculate the LCM of 18179 and 18187.

LCM(18179,18187) = 73 × 531 × 131 × 13991
LCM(18179,18187) = 330621473