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What is the Least Common Multiple of 17592 and 17602?

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 17592 and 17602 is 154827192.

LCM(17592,17602) = 154827192

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Least Common Multiple of 17592 and 17602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17592 and 17602, than apply into the LCM equation.

GCF(17592,17602) = 2
LCM(17592,17602) = ( 17592 × 17602) / 2
LCM(17592,17602) = 309654384 / 2
LCM(17592,17602) = 154827192

Least Common Multiple (LCM) of 17592 and 17602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17592 and 17602. First we will calculate the prime factors of 17592 and 17602.

Prime Factorization of 17592

Prime factors of 17592 are 2, 3, 733. Prime factorization of 17592 in exponential form is:

17592 = 23 × 31 × 7331

Prime Factorization of 17602

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

17602 = 21 × 131 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 17592 and 17602.

LCM(17592,17602) = 23 × 31 × 7331 × 131 × 6771
LCM(17592,17602) = 154827192