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What is the Least Common Multiple of 18050 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 18050 and 18069 is 17165550.

LCM(18050,18069) = 17165550

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Least Common Multiple of 18050 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 18050 and 18069, than apply into the LCM equation.

GCF(18050,18069) = 19
LCM(18050,18069) = ( 18050 × 18069) / 19
LCM(18050,18069) = 326145450 / 19
LCM(18050,18069) = 17165550

Least Common Multiple (LCM) of 18050 and 18069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18050 and 18069. First we will calculate the prime factors of 18050 and 18069.

Prime Factorization of 18050

Prime factors of 18050 are 2, 5, 19. Prime factorization of 18050 in exponential form is:

18050 = 21 × 52 × 192

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 18050 and 18069.

LCM(18050,18069) = 21 × 52 × 192 × 31 × 3171
LCM(18050,18069) = 17165550