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What is the Least Common Multiple of 17575 and 17583?

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 17575 and 17583 is 309021225.

LCM(17575,17583) = 309021225

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Least Common Multiple of 17575 and 17583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17575 and 17583, than apply into the LCM equation.

GCF(17575,17583) = 1
LCM(17575,17583) = ( 17575 × 17583) / 1
LCM(17575,17583) = 309021225 / 1
LCM(17575,17583) = 309021225

Least Common Multiple (LCM) of 17575 and 17583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17575 and 17583. First we will calculate the prime factors of 17575 and 17583.

Prime Factorization of 17575

Prime factors of 17575 are 5, 19, 37. Prime factorization of 17575 in exponential form is:

17575 = 52 × 191 × 371

Prime Factorization of 17583

Prime factors of 17583 are 3, 5861. Prime factorization of 17583 in exponential form is:

17583 = 31 × 58611

Now multiplying the highest exponent prime factors to calculate the LCM of 17575 and 17583.

LCM(17575,17583) = 52 × 191 × 371 × 31 × 58611
LCM(17575,17583) = 309021225