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What is the Least Common Multiple of 17445 and 17458?

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 17445 and 17458 is 304554810.

LCM(17445,17458) = 304554810

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Least Common Multiple of 17445 and 17458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17445 and 17458, than apply into the LCM equation.

GCF(17445,17458) = 1
LCM(17445,17458) = ( 17445 × 17458) / 1
LCM(17445,17458) = 304554810 / 1
LCM(17445,17458) = 304554810

Least Common Multiple (LCM) of 17445 and 17458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17445 and 17458. First we will calculate the prime factors of 17445 and 17458.

Prime Factorization of 17445

Prime factors of 17445 are 3, 5, 1163. Prime factorization of 17445 in exponential form is:

17445 = 31 × 51 × 11631

Prime Factorization of 17458

Prime factors of 17458 are 2, 7, 29, 43. Prime factorization of 17458 in exponential form is:

17458 = 21 × 71 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17445 and 17458.

LCM(17445,17458) = 31 × 51 × 11631 × 21 × 71 × 291 × 431
LCM(17445,17458) = 304554810