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What is the Least Common Multiple of 18579 and 18595?

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 18579 and 18595 is 345476505.

LCM(18579,18595) = 345476505

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Least Common Multiple of 18579 and 18595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18579 and 18595, than apply into the LCM equation.

GCF(18579,18595) = 1
LCM(18579,18595) = ( 18579 × 18595) / 1
LCM(18579,18595) = 345476505 / 1
LCM(18579,18595) = 345476505

Least Common Multiple (LCM) of 18579 and 18595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18579 and 18595. First we will calculate the prime factors of 18579 and 18595.

Prime Factorization of 18579

Prime factors of 18579 are 3, 11, 563. Prime factorization of 18579 in exponential form is:

18579 = 31 × 111 × 5631

Prime Factorization of 18595

Prime factors of 18595 are 5, 3719. Prime factorization of 18595 in exponential form is:

18595 = 51 × 37191

Now multiplying the highest exponent prime factors to calculate the LCM of 18579 and 18595.

LCM(18579,18595) = 31 × 111 × 5631 × 51 × 37191
LCM(18579,18595) = 345476505