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What is the Least Common Multiple of 17595 and 17606?

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 17595 and 17606 is 309777570.

LCM(17595,17606) = 309777570

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Least Common Multiple of 17595 and 17606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17595 and 17606, than apply into the LCM equation.

GCF(17595,17606) = 1
LCM(17595,17606) = ( 17595 × 17606) / 1
LCM(17595,17606) = 309777570 / 1
LCM(17595,17606) = 309777570

Least Common Multiple (LCM) of 17595 and 17606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17595 and 17606. First we will calculate the prime factors of 17595 and 17606.

Prime Factorization of 17595

Prime factors of 17595 are 3, 5, 17, 23. Prime factorization of 17595 in exponential form is:

17595 = 32 × 51 × 171 × 231

Prime Factorization of 17606

Prime factors of 17606 are 2, 8803. Prime factorization of 17606 in exponential form is:

17606 = 21 × 88031

Now multiplying the highest exponent prime factors to calculate the LCM of 17595 and 17606.

LCM(17595,17606) = 32 × 51 × 171 × 231 × 21 × 88031
LCM(17595,17606) = 309777570