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What is the Least Common Multiple of 17576 and 17590?

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 17576 and 17590 is 154580920.

LCM(17576,17590) = 154580920

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Least Common Multiple of 17576 and 17590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17576 and 17590, than apply into the LCM equation.

GCF(17576,17590) = 2
LCM(17576,17590) = ( 17576 × 17590) / 2
LCM(17576,17590) = 309161840 / 2
LCM(17576,17590) = 154580920

Least Common Multiple (LCM) of 17576 and 17590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17576 and 17590. First we will calculate the prime factors of 17576 and 17590.

Prime Factorization of 17576

Prime factors of 17576 are 2, 13. Prime factorization of 17576 in exponential form is:

17576 = 23 × 133

Prime Factorization of 17590

Prime factors of 17590 are 2, 5, 1759. Prime factorization of 17590 in exponential form is:

17590 = 21 × 51 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 17576 and 17590.

LCM(17576,17590) = 23 × 133 × 51 × 17591
LCM(17576,17590) = 154580920