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What is the Least Common Multiple of 17282 and 17295?

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 17282 and 17295 is 298892190.

LCM(17282,17295) = 298892190

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Least Common Multiple of 17282 and 17295 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17282 and 17295, than apply into the LCM equation.

GCF(17282,17295) = 1
LCM(17282,17295) = ( 17282 × 17295) / 1
LCM(17282,17295) = 298892190 / 1
LCM(17282,17295) = 298892190

Least Common Multiple (LCM) of 17282 and 17295 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17282 and 17295. First we will calculate the prime factors of 17282 and 17295.

Prime Factorization of 17282

Prime factors of 17282 are 2, 8641. Prime factorization of 17282 in exponential form is:

17282 = 21 × 86411

Prime Factorization of 17295

Prime factors of 17295 are 3, 5, 1153. Prime factorization of 17295 in exponential form is:

17295 = 31 × 51 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 17282 and 17295.

LCM(17282,17295) = 21 × 86411 × 31 × 51 × 11531
LCM(17282,17295) = 298892190