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What is the Least Common Multiple of 17176 and 17180?

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 17176 and 17180 is 73770920.

LCM(17176,17180) = 73770920

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Least Common Multiple of 17176 and 17180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17176 and 17180, than apply into the LCM equation.

GCF(17176,17180) = 4
LCM(17176,17180) = ( 17176 × 17180) / 4
LCM(17176,17180) = 295083680 / 4
LCM(17176,17180) = 73770920

Least Common Multiple (LCM) of 17176 and 17180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17176 and 17180. First we will calculate the prime factors of 17176 and 17180.

Prime Factorization of 17176

Prime factors of 17176 are 2, 19, 113. Prime factorization of 17176 in exponential form is:

17176 = 23 × 191 × 1131

Prime Factorization of 17180

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

17180 = 22 × 51 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 17176 and 17180.

LCM(17176,17180) = 23 × 191 × 1131 × 51 × 8591
LCM(17176,17180) = 73770920