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What is the Least Common Multiple of 17292 and 17309?

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 17292 and 17309 is 299307228.

LCM(17292,17309) = 299307228

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Least Common Multiple of 17292 and 17309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17292 and 17309, than apply into the LCM equation.

GCF(17292,17309) = 1
LCM(17292,17309) = ( 17292 × 17309) / 1
LCM(17292,17309) = 299307228 / 1
LCM(17292,17309) = 299307228

Least Common Multiple (LCM) of 17292 and 17309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17292 and 17309. First we will calculate the prime factors of 17292 and 17309.

Prime Factorization of 17292

Prime factors of 17292 are 2, 3, 11, 131. Prime factorization of 17292 in exponential form is:

17292 = 22 × 31 × 111 × 1311

Prime Factorization of 17309

Prime factors of 17309 are 19, 911. Prime factorization of 17309 in exponential form is:

17309 = 191 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 17292 and 17309.

LCM(17292,17309) = 22 × 31 × 111 × 1311 × 191 × 9111
LCM(17292,17309) = 299307228