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What is the Least Common Multiple of 17171 and 17188?

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 17171 and 17188 is 295135148.

LCM(17171,17188) = 295135148

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Least Common Multiple of 17171 and 17188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17171 and 17188, than apply into the LCM equation.

GCF(17171,17188) = 1
LCM(17171,17188) = ( 17171 × 17188) / 1
LCM(17171,17188) = 295135148 / 1
LCM(17171,17188) = 295135148

Least Common Multiple (LCM) of 17171 and 17188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17171 and 17188. First we will calculate the prime factors of 17171 and 17188.

Prime Factorization of 17171

Prime factors of 17171 are 7, 11, 223. Prime factorization of 17171 in exponential form is:

17171 = 71 × 111 × 2231

Prime Factorization of 17188

Prime factors of 17188 are 2, 4297. Prime factorization of 17188 in exponential form is:

17188 = 22 × 42971

Now multiplying the highest exponent prime factors to calculate the LCM of 17171 and 17188.

LCM(17171,17188) = 71 × 111 × 2231 × 22 × 42971
LCM(17171,17188) = 295135148