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What is the Least Common Multiple of 19005 and 19016?

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 19016 is 361399080.

LCM(19005,19016) = 361399080

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Least Common Multiple of 19005 and 19016 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 19016, than apply into the LCM equation.

GCF(19005,19016) = 1
LCM(19005,19016) = ( 19005 × 19016) / 1
LCM(19005,19016) = 361399080 / 1
LCM(19005,19016) = 361399080

Least Common Multiple (LCM) of 19005 and 19016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19005 and 19016. First we will calculate the prime factors of 19005 and 19016.

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 19016

Prime factors of 19016 are 2, 2377. Prime factorization of 19016 in exponential form is:

19016 = 23 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 19005 and 19016.

LCM(19005,19016) = 31 × 51 × 71 × 1811 × 23 × 23771
LCM(19005,19016) = 361399080