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What is the Least Common Multiple of 18059 and 18069?

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 18059 and 18069 is 326308071.

LCM(18059,18069) = 326308071

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Least Common Multiple of 18059 and 18069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18059 and 18069, than apply into the LCM equation.

GCF(18059,18069) = 1
LCM(18059,18069) = ( 18059 × 18069) / 1
LCM(18059,18069) = 326308071 / 1
LCM(18059,18069) = 326308071

Least Common Multiple (LCM) of 18059 and 18069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18059 and 18069. First we will calculate the prime factors of 18059 and 18069.

Prime Factorization of 18059

Prime factors of 18059 are 18059. Prime factorization of 18059 in exponential form is:

18059 = 180591

Prime Factorization of 18069

Prime factors of 18069 are 3, 19, 317. Prime factorization of 18069 in exponential form is:

18069 = 31 × 191 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 18059 and 18069.

LCM(18059,18069) = 180591 × 31 × 191 × 3171
LCM(18059,18069) = 326308071