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What is the Least Common Multiple of 17592 and 17609?

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 17609 is 309777528.

LCM(17592,17609) = 309777528

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Least Common Multiple of 17592 and 17609 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 17609, than apply into the LCM equation.

GCF(17592,17609) = 1
LCM(17592,17609) = ( 17592 × 17609) / 1
LCM(17592,17609) = 309777528 / 1
LCM(17592,17609) = 309777528

Least Common Multiple (LCM) of 17592 and 17609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17592 and 17609. First we will calculate the prime factors of 17592 and 17609.

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 17609

Prime factors of 17609 are 17609. Prime factorization of 17609 in exponential form is:

17609 = 176091

Now multiplying the highest exponent prime factors to calculate the LCM of 17592 and 17609.

LCM(17592,17609) = 23 × 31 × 7331 × 176091
LCM(17592,17609) = 309777528