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What is the Least Common Multiple of 17266 and 17282?

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 17266 and 17282 is 149195506.

LCM(17266,17282) = 149195506

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Least Common Multiple of 17266 and 17282 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17266 and 17282, than apply into the LCM equation.

GCF(17266,17282) = 2
LCM(17266,17282) = ( 17266 × 17282) / 2
LCM(17266,17282) = 298391012 / 2
LCM(17266,17282) = 149195506

Least Common Multiple (LCM) of 17266 and 17282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17266 and 17282. First we will calculate the prime factors of 17266 and 17282.

Prime Factorization of 17266

Prime factors of 17266 are 2, 89, 97. Prime factorization of 17266 in exponential form is:

17266 = 21 × 891 × 971

Prime Factorization of 17282

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

17282 = 21 × 86411

Now multiplying the highest exponent prime factors to calculate the LCM of 17266 and 17282.

LCM(17266,17282) = 21 × 891 × 971 × 86411
LCM(17266,17282) = 149195506