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What is the Least Common Multiple of 17188 and 17192?

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 17188 and 17192 is 73874024.

LCM(17188,17192) = 73874024

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Least Common Multiple of 17188 and 17192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17188 and 17192, than apply into the LCM equation.

GCF(17188,17192) = 4
LCM(17188,17192) = ( 17188 × 17192) / 4
LCM(17188,17192) = 295496096 / 4
LCM(17188,17192) = 73874024

Least Common Multiple (LCM) of 17188 and 17192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17188 and 17192. First we will calculate the prime factors of 17188 and 17192.

Prime Factorization of 17188

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

17188 = 22 × 42971

Prime Factorization of 17192

Prime factors of 17192 are 2, 7, 307. Prime factorization of 17192 in exponential form is:

17192 = 23 × 71 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 17188 and 17192.

LCM(17188,17192) = 23 × 42971 × 71 × 3071
LCM(17188,17192) = 73874024