Least Common Multiple of 4580 and 4584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4580 and 4584 the smallest integer that is 5248680 that is divisible by both numbers.

Least Common Multiple (LCM) of 4580 and 4584 is 5248680.

LCM(4580,4584) = 5248680

LCM of 4580 and 4584

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

LCM of:
and

Least Common Multiple of 4580 and 4584

LCM of 4580 and 4584 is 5248680

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4584. First we will calculate the prime factors of 4580 and 4584.

Prime Factorization of 4580


2 4580
2 2290
5 1145
229 229
1

Prime factors of 4580 are 2, 5,229. Prime factorization of 4580 in exponential form is:

4580 = 22×51×2291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4584.

LCM(4580,4584) = 23×31×51×1911×2291
LCM(4580,4584) = 5248680

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580

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

Least Common Multiple of 4580 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 4580 and 4584, than apply into the LCM equation.

GCF(4580,4584) = 4
LCM(4580,4584) = ( 4580 × 4584) / 4
LCM(4580,4584) = 20994720 / 4
LCM(4580,4584) = 5248680

Properties of LCM 4580 and 4584

(i) The LCM of 4584 and 4580 is associative

LCM of 4580 and 4584 = LCM of 4584 and 4580

Related Least Common Multiples of 4580

Related Least Common Multiples of 4584

Frequently Asked Questions on LCM of 4580 and 4584

1. What is the LCM of 4580 and 4584?

Answer: LCM of 4580 and 4584 is 5248680.

2. What are the Factors of 4580?

Answer: Factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580. There are 12 integers that are factors of 4580. The greatest factor of 4580 is 4580.

3. 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.

4. How to Find the LCM of 4580 and 4584?

Answer:

Least Common Multiple of 4580 and 4584 = 5248680

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

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

LCM = 5248680 = 2 x 2 x 2 x 3 x 5 x 191 x 229

Step 4: Therefore, the least common multiple of 4580 and 4584 is 5248680.