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What is the Least Common Multiple of 17619 and 17630?

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 17619 and 17630 is 310622970.

LCM(17619,17630) = 310622970

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Least Common Multiple of 17619 and 17630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17619 and 17630, than apply into the LCM equation.

GCF(17619,17630) = 1
LCM(17619,17630) = ( 17619 × 17630) / 1
LCM(17619,17630) = 310622970 / 1
LCM(17619,17630) = 310622970

Least Common Multiple (LCM) of 17619 and 17630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17619 and 17630. First we will calculate the prime factors of 17619 and 17630.

Prime Factorization of 17619

Prime factors of 17619 are 3, 7, 839. Prime factorization of 17619 in exponential form is:

17619 = 31 × 71 × 8391

Prime Factorization of 17630

Prime factors of 17630 are 2, 5, 41, 43. Prime factorization of 17630 in exponential form is:

17630 = 21 × 51 × 411 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17619 and 17630.

LCM(17619,17630) = 31 × 71 × 8391 × 21 × 51 × 411 × 431
LCM(17619,17630) = 310622970