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What is the Least Common Multiple of 17577 and 17593?

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 17577 and 17593 is 309232161.

LCM(17577,17593) = 309232161

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Least Common Multiple of 17577 and 17593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17577 and 17593, than apply into the LCM equation.

GCF(17577,17593) = 1
LCM(17577,17593) = ( 17577 × 17593) / 1
LCM(17577,17593) = 309232161 / 1
LCM(17577,17593) = 309232161

Least Common Multiple (LCM) of 17577 and 17593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17577 and 17593. First we will calculate the prime factors of 17577 and 17593.

Prime Factorization of 17577

Prime factors of 17577 are 3, 7, 31. Prime factorization of 17577 in exponential form is:

17577 = 34 × 71 × 311

Prime Factorization of 17593

Prime factors of 17593 are 73, 241. Prime factorization of 17593 in exponential form is:

17593 = 731 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 17577 and 17593.

LCM(17577,17593) = 34 × 71 × 311 × 731 × 2411
LCM(17577,17593) = 309232161