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What is the Least Common Multiple of 17545 and 17555?

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 17545 and 17555 is 61600495.

LCM(17545,17555) = 61600495

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Least Common Multiple of 17545 and 17555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17545 and 17555, than apply into the LCM equation.

GCF(17545,17555) = 5
LCM(17545,17555) = ( 17545 × 17555) / 5
LCM(17545,17555) = 308002475 / 5
LCM(17545,17555) = 61600495

Least Common Multiple (LCM) of 17545 and 17555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17545 and 17555. First we will calculate the prime factors of 17545 and 17555.

Prime Factorization of 17545

Prime factors of 17545 are 5, 11, 29. Prime factorization of 17545 in exponential form is:

17545 = 51 × 112 × 291

Prime Factorization of 17555

Prime factors of 17555 are 5, 3511. Prime factorization of 17555 in exponential form is:

17555 = 51 × 35111

Now multiplying the highest exponent prime factors to calculate the LCM of 17545 and 17555.

LCM(17545,17555) = 51 × 112 × 291 × 35111
LCM(17545,17555) = 61600495