Least Common Multiple of 4584 and 4589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4584 and 4589 the smallest integer that is 21035976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4584 and 4589 is 21035976.

LCM(4584,4589) = 21035976

LCM of 4584 and 4589

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4584 and 4589

LCM of 4584 and 4589 is 21035976

Least common multiple can be found by multiplying the highest exponent prime factors of 4584 and 4589. First we will calculate the prime factors of 4584 and 4589.

Prime Factorization of 4584


2 4584
2 2292
2 1146
3 573
191 191
1

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

4584 = 23×31×1911

Prime Factorization of 4589


13 4589
353 353
1

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 4584 and 4589.

LCM(4584,4589) = 23×31×131×1911×3531
LCM(4584,4589) = 21035976

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584

Factors of 4589

List of positive integer factors of 4589 that divides 4589 without a remainder.

1, 13, 353, 4589

Least Common Multiple of 4584 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 4584 and 4589, than apply into the LCM equation.

GCF(4584,4589) = 1
LCM(4584,4589) = ( 4584 × 4589) / 1
LCM(4584,4589) = 21035976 / 1
LCM(4584,4589) = 21035976

Properties of LCM 4584 and 4589

(i) The LCM of 4589 and 4584 is associative

LCM of 4584 and 4589 = LCM of 4589 and 4584

Related Least Common Multiples of 4584

Related Least Common Multiples of 4589

Frequently Asked Questions on LCM of 4584 and 4589

1. What is the LCM of 4584 and 4589?

Answer: LCM of 4584 and 4589 is 21035976.

2. What are the Factors of 4584?

Answer: Factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584. There are 16 integers that are factors of 4584. The greatest factor of 4584 is 4584.

3. What are the Factors of 4589?

Answer: Factors of 4589 are 1, 13, 353, 4589. There are 4 integers that are factors of 4589. The greatest factor of 4589 is 4589.

4. How to Find the LCM of 4584 and 4589?

Answer:

Least Common Multiple of 4584 and 4589 = 21035976

Step 1: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

Step 2: Find the prime factorization of 4589

4589 = 13 x 353

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 21035976 = 2 x 2 x 2 x 3 x 13 x 191 x 353

Step 4: Therefore, the least common multiple of 4584 and 4589 is 21035976.