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What is the Least Common Multiple of 17176 and 17182?

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 17182 is 147559016.

LCM(17176,17182) = 147559016

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Least Common Multiple of 17176 and 17182 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 17182, than apply into the LCM equation.

GCF(17176,17182) = 2
LCM(17176,17182) = ( 17176 × 17182) / 2
LCM(17176,17182) = 295118032 / 2
LCM(17176,17182) = 147559016

Least Common Multiple (LCM) of 17176 and 17182 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17176 and 17182. First we will calculate the prime factors of 17176 and 17182.

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 17182

Prime factors of 17182 are 2, 11, 71. Prime factorization of 17182 in exponential form is:

17182 = 21 × 112 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 17176 and 17182.

LCM(17176,17182) = 23 × 191 × 1131 × 112 × 711
LCM(17176,17182) = 147559016