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What is the Least Common Multiple of 17180 and 17184?

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 17180 and 17184 is 73805280.

LCM(17180,17184) = 73805280

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Least Common Multiple of 17180 and 17184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17180 and 17184, than apply into the LCM equation.

GCF(17180,17184) = 4
LCM(17180,17184) = ( 17180 × 17184) / 4
LCM(17180,17184) = 295221120 / 4
LCM(17180,17184) = 73805280

Least Common Multiple (LCM) of 17180 and 17184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17180 and 17184. First we will calculate the prime factors of 17180 and 17184.

Prime Factorization of 17180

Prime factors of 17180 are 2, 5, 859. Prime factorization of 17180 in exponential form is:

17180 = 22 × 51 × 8591

Prime Factorization of 17184

Prime factors of 17184 are 2, 3, 179. Prime factorization of 17184 in exponential form is:

17184 = 25 × 31 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 17180 and 17184.

LCM(17180,17184) = 25 × 51 × 8591 × 31 × 1791
LCM(17180,17184) = 73805280