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What is the Least Common Multiple of 17235 and 17242?

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 17235 and 17242 is 297165870.

LCM(17235,17242) = 297165870

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Least Common Multiple of 17235 and 17242 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17235 and 17242, than apply into the LCM equation.

GCF(17235,17242) = 1
LCM(17235,17242) = ( 17235 × 17242) / 1
LCM(17235,17242) = 297165870 / 1
LCM(17235,17242) = 297165870

Least Common Multiple (LCM) of 17235 and 17242 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17242. First we will calculate the prime factors of 17235 and 17242.

Prime Factorization of 17235

Prime factors of 17235 are 3, 5, 383. Prime factorization of 17235 in exponential form is:

17235 = 32 × 51 × 3831

Prime Factorization of 17242

Prime factors of 17242 are 2, 37, 233. Prime factorization of 17242 in exponential form is:

17242 = 21 × 371 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 17235 and 17242.

LCM(17235,17242) = 32 × 51 × 3831 × 21 × 371 × 2331
LCM(17235,17242) = 297165870