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What is the Least Common Multiple of 17295 and 17302?

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 17295 and 17302 is 299238090.

LCM(17295,17302) = 299238090

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Least Common Multiple of 17295 and 17302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17295 and 17302, than apply into the LCM equation.

GCF(17295,17302) = 1
LCM(17295,17302) = ( 17295 × 17302) / 1
LCM(17295,17302) = 299238090 / 1
LCM(17295,17302) = 299238090

Least Common Multiple (LCM) of 17295 and 17302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17295 and 17302. First we will calculate the prime factors of 17295 and 17302.

Prime Factorization of 17295

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

17295 = 31 × 51 × 11531

Prime Factorization of 17302

Prime factors of 17302 are 2, 41, 211. Prime factorization of 17302 in exponential form is:

17302 = 21 × 411 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 17295 and 17302.

LCM(17295,17302) = 31 × 51 × 11531 × 21 × 411 × 2111
LCM(17295,17302) = 299238090