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What is the Least Common Multiple of 19002 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 19002 and 19016 is 180671016.

LCM(19002,19016) = 180671016

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Least Common Multiple of 19002 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 19002 and 19016, than apply into the LCM equation.

GCF(19002,19016) = 2
LCM(19002,19016) = ( 19002 × 19016) / 2
LCM(19002,19016) = 361342032 / 2
LCM(19002,19016) = 180671016

Least Common Multiple (LCM) of 19002 and 19016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19002 and 19016. First we will calculate the prime factors of 19002 and 19016.

Prime Factorization of 19002

Prime factors of 19002 are 2, 3, 3167. Prime factorization of 19002 in exponential form is:

19002 = 21 × 31 × 31671

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 19002 and 19016.

LCM(19002,19016) = 23 × 31 × 31671 × 23771
LCM(19002,19016) = 180671016