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What is the Least Common Multiple of 17172 and 17183?

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 17172 and 17183 is 295066476.

LCM(17172,17183) = 295066476

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Least Common Multiple of 17172 and 17183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17172 and 17183, than apply into the LCM equation.

GCF(17172,17183) = 1
LCM(17172,17183) = ( 17172 × 17183) / 1
LCM(17172,17183) = 295066476 / 1
LCM(17172,17183) = 295066476

Least Common Multiple (LCM) of 17172 and 17183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17172 and 17183. First we will calculate the prime factors of 17172 and 17183.

Prime Factorization of 17172

Prime factors of 17172 are 2, 3, 53. Prime factorization of 17172 in exponential form is:

17172 = 22 × 34 × 531

Prime Factorization of 17183

Prime factors of 17183 are 17183. Prime factorization of 17183 in exponential form is:

17183 = 171831

Now multiplying the highest exponent prime factors to calculate the LCM of 17172 and 17183.

LCM(17172,17183) = 22 × 34 × 531 × 171831
LCM(17172,17183) = 295066476