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What is the Least Common Multiple of 4578 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 4578 and 4589 is 21008442.

LCM(4578,4589) = 21008442

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Least Common Multiple of 4578 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 4578 and 4589, than apply into the LCM equation.

GCF(4578,4589) = 1
LCM(4578,4589) = ( 4578 × 4589) / 1
LCM(4578,4589) = 21008442 / 1
LCM(4578,4589) = 21008442

Least Common Multiple (LCM) of 4578 and 4589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4578 and 4589. First we will calculate the prime factors of 4578 and 4589.

Prime Factorization of 4578

Prime factors of 4578 are 2, 3, 7, 109. Prime factorization of 4578 in exponential form is:

4578 = 21 × 31 × 71 × 1091

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 4578 and 4589.

LCM(4578,4589) = 21 × 31 × 71 × 1091 × 131 × 3531
LCM(4578,4589) = 21008442