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What is the Least Common Multiple of 17181 and 17200?

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 17181 and 17200 is 295513200.

LCM(17181,17200) = 295513200

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Least Common Multiple of 17181 and 17200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17181 and 17200, than apply into the LCM equation.

GCF(17181,17200) = 1
LCM(17181,17200) = ( 17181 × 17200) / 1
LCM(17181,17200) = 295513200 / 1
LCM(17181,17200) = 295513200

Least Common Multiple (LCM) of 17181 and 17200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17181 and 17200. First we will calculate the prime factors of 17181 and 17200.

Prime Factorization of 17181

Prime factors of 17181 are 3, 23, 83. Prime factorization of 17181 in exponential form is:

17181 = 32 × 231 × 831

Prime Factorization of 17200

Prime factors of 17200 are 2, 5, 43. Prime factorization of 17200 in exponential form is:

17200 = 24 × 52 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 17181 and 17200.

LCM(17181,17200) = 32 × 231 × 831 × 24 × 52 × 431
LCM(17181,17200) = 295513200