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What is the Least Common Multiple of 4569 and 4584?

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 4569 and 4584 is 6981432.

LCM(4569,4584) = 6981432

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Least Common Multiple of 4569 and 4584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4569 and 4584, than apply into the LCM equation.

GCF(4569,4584) = 3
LCM(4569,4584) = ( 4569 × 4584) / 3
LCM(4569,4584) = 20944296 / 3
LCM(4569,4584) = 6981432

Least Common Multiple (LCM) of 4569 and 4584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4569 and 4584. First we will calculate the prime factors of 4569 and 4584.

Prime Factorization of 4569

Prime factors of 4569 are 3, 1523. Prime factorization of 4569 in exponential form is:

4569 = 31 × 15231

Prime Factorization of 4584

Prime factors of 4584 are 2, 3, 191. Prime factorization of 4584 in exponential form is:

4584 = 23 × 31 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 4569 and 4584.

LCM(4569,4584) = 31 × 15231 × 23 × 1911
LCM(4569,4584) = 6981432