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What is the Least Common Multiple of 19005 and 19011?

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 19005 and 19011 is 120434685.

LCM(19005,19011) = 120434685

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Least Common Multiple of 19005 and 19011 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19005 and 19011, than apply into the LCM equation.

GCF(19005,19011) = 3
LCM(19005,19011) = ( 19005 × 19011) / 3
LCM(19005,19011) = 361304055 / 3
LCM(19005,19011) = 120434685

Least Common Multiple (LCM) of 19005 and 19011 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19005 and 19011. First we will calculate the prime factors of 19005 and 19011.

Prime Factorization of 19005

Prime factors of 19005 are 3, 5, 7, 181. Prime factorization of 19005 in exponential form is:

19005 = 31 × 51 × 71 × 1811

Prime Factorization of 19011

Prime factors of 19011 are 3, 6337. Prime factorization of 19011 in exponential form is:

19011 = 31 × 63371

Now multiplying the highest exponent prime factors to calculate the LCM of 19005 and 19011.

LCM(19005,19011) = 31 × 51 × 71 × 1811 × 63371
LCM(19005,19011) = 120434685