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What is the Least Common Multiple of 4589 and 4595?

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 4589 and 4595 is 21086455.

LCM(4589,4595) = 21086455

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Least Common Multiple of 4589 and 4595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4589 and 4595, than apply into the LCM equation.

GCF(4589,4595) = 1
LCM(4589,4595) = ( 4589 × 4595) / 1
LCM(4589,4595) = 21086455 / 1
LCM(4589,4595) = 21086455

Least Common Multiple (LCM) of 4589 and 4595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4589 and 4595. First we will calculate the prime factors of 4589 and 4595.

Prime Factorization of 4589

Prime factors of 4589 are 13, 353. Prime factorization of 4589 in exponential form is:

4589 = 131 × 3531

Prime Factorization of 4595

Prime factors of 4595 are 5, 919. Prime factorization of 4595 in exponential form is:

4595 = 51 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 4589 and 4595.

LCM(4589,4595) = 131 × 3531 × 51 × 9191
LCM(4589,4595) = 21086455