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What is the Least Common Multiple of 17602 and 17619?

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 17602 and 17619 is 310129638.

LCM(17602,17619) = 310129638

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Least Common Multiple of 17602 and 17619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17602 and 17619, than apply into the LCM equation.

GCF(17602,17619) = 1
LCM(17602,17619) = ( 17602 × 17619) / 1
LCM(17602,17619) = 310129638 / 1
LCM(17602,17619) = 310129638

Least Common Multiple (LCM) of 17602 and 17619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17602 and 17619. First we will calculate the prime factors of 17602 and 17619.

Prime Factorization of 17602

Prime factors of 17602 are 2, 13, 677. Prime factorization of 17602 in exponential form is:

17602 = 21 × 131 × 6771

Prime Factorization of 17619

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

17619 = 31 × 71 × 8391

Now multiplying the highest exponent prime factors to calculate the LCM of 17602 and 17619.

LCM(17602,17619) = 21 × 131 × 6771 × 31 × 71 × 8391
LCM(17602,17619) = 310129638