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What is the Least Common Multiple of 17235 and 17252?

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 17252 is 297338220.

LCM(17235,17252) = 297338220

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Least Common Multiple of 17235 and 17252 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 17252, than apply into the LCM equation.

GCF(17235,17252) = 1
LCM(17235,17252) = ( 17235 × 17252) / 1
LCM(17235,17252) = 297338220 / 1
LCM(17235,17252) = 297338220

Least Common Multiple (LCM) of 17235 and 17252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17235 and 17252. First we will calculate the prime factors of 17235 and 17252.

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 17252

Prime factors of 17252 are 2, 19, 227. Prime factorization of 17252 in exponential form is:

17252 = 22 × 191 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 17235 and 17252.

LCM(17235,17252) = 32 × 51 × 3831 × 22 × 191 × 2271
LCM(17235,17252) = 297338220