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What is the Least Common Multiple of 17435 and 17443?

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 17435 and 17443 is 304118705.

LCM(17435,17443) = 304118705

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Least Common Multiple of 17435 and 17443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17435 and 17443, than apply into the LCM equation.

GCF(17435,17443) = 1
LCM(17435,17443) = ( 17435 × 17443) / 1
LCM(17435,17443) = 304118705 / 1
LCM(17435,17443) = 304118705

Least Common Multiple (LCM) of 17435 and 17443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17435 and 17443. First we will calculate the prime factors of 17435 and 17443.

Prime Factorization of 17435

Prime factors of 17435 are 5, 11, 317. Prime factorization of 17435 in exponential form is:

17435 = 51 × 111 × 3171

Prime Factorization of 17443

Prime factors of 17443 are 17443. Prime factorization of 17443 in exponential form is:

17443 = 174431

Now multiplying the highest exponent prime factors to calculate the LCM of 17435 and 17443.

LCM(17435,17443) = 51 × 111 × 3171 × 174431
LCM(17435,17443) = 304118705