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What is the Least Common Multiple of 4583 and 4589?

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 4583 and 4589 is 21031387.

LCM(4583,4589) = 21031387

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Least Common Multiple of 4583 and 4589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4583 and 4589, than apply into the LCM equation.

GCF(4583,4589) = 1
LCM(4583,4589) = ( 4583 × 4589) / 1
LCM(4583,4589) = 21031387 / 1
LCM(4583,4589) = 21031387

Least Common Multiple (LCM) of 4583 and 4589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4583 and 4589. First we will calculate the prime factors of 4583 and 4589.

Prime Factorization of 4583

Prime factors of 4583 are 4583. Prime factorization of 4583 in exponential form is:

4583 = 45831

Prime Factorization of 4589

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

4589 = 131 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 4583 and 4589.

LCM(4583,4589) = 45831 × 131 × 3531
LCM(4583,4589) = 21031387