Least Common Multiple of 4584 and 4590

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 4590 the smallest integer that is 3506760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4584 and 4590 is 3506760.

LCM(4584,4590) = 3506760

LCM of 4584 and 4590

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

LCM of:
and

Least Common Multiple of 4584 and 4590

LCM of 4584 and 4590 is 3506760

Least common multiple can be found by multiplying the highest exponent prime factors of 4584 and 4590. First we will calculate the prime factors of 4584 and 4590.

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 4590


2 4590
3 2295
3 765
3 255
5 85
17 17
1

Prime factors of 4590 are 2, 3, 5,17. Prime factorization of 4590 in exponential form is:

4590 = 21×33×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 4584 and 4590.

LCM(4584,4590) = 23×33×51×171×1911
LCM(4584,4590) = 3506760

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 4590

List of positive integer factors of 4590 that divides 4590 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590

Least Common Multiple of 4584 and 4590 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 4590, than apply into the LCM equation.

GCF(4584,4590) = 6
LCM(4584,4590) = ( 4584 × 4590) / 6
LCM(4584,4590) = 21040560 / 6
LCM(4584,4590) = 3506760

Properties of LCM 4584 and 4590

(i) The LCM of 4590 and 4584 is associative

LCM of 4584 and 4590 = LCM of 4590 and 4584

Related Least Common Multiples of 4584

Related Least Common Multiples of 4590

Frequently Asked Questions on LCM of 4584 and 4590

1. What is the LCM of 4584 and 4590?

Answer: LCM of 4584 and 4590 is 3506760.

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 4590?

Answer: Factors of 4590 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 27, 30, 34, 45, 51, 54, 85, 90, 102, 135, 153, 170, 255, 270, 306, 459, 510, 765, 918, 1530, 2295, 4590. There are 32 integers that are factors of 4590. The greatest factor of 4590 is 4590.

4. How to Find the LCM of 4584 and 4590?

Answer:

Least Common Multiple of 4584 and 4590 = 3506760

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 4590

4590 = 2 x 3 x 3 x 3 x 5 x 17

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

LCM = 3506760 = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 191

Step 4: Therefore, the least common multiple of 4584 and 4590 is 3506760.