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What is the Least Common Multiple of 19007 and 19022?

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 19007 and 19022 is 361551154.

LCM(19007,19022) = 361551154

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Least Common Multiple of 19007 and 19022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19007 and 19022, than apply into the LCM equation.

GCF(19007,19022) = 1
LCM(19007,19022) = ( 19007 × 19022) / 1
LCM(19007,19022) = 361551154 / 1
LCM(19007,19022) = 361551154

Least Common Multiple (LCM) of 19007 and 19022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19007 and 19022. First we will calculate the prime factors of 19007 and 19022.

Prime Factorization of 19007

Prime factors of 19007 are 83, 229. Prime factorization of 19007 in exponential form is:

19007 = 831 × 2291

Prime Factorization of 19022

Prime factors of 19022 are 2, 9511. Prime factorization of 19022 in exponential form is:

19022 = 21 × 95111

Now multiplying the highest exponent prime factors to calculate the LCM of 19007 and 19022.

LCM(19007,19022) = 831 × 2291 × 21 × 95111
LCM(19007,19022) = 361551154