Least Common Multiple of 4580 and 4588

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 4588 the smallest integer that is 5253260 that is divisible by both numbers.

Least Common Multiple (LCM) of 4580 and 4588 is 5253260.

LCM(4580,4588) = 5253260

LCM of 4580 and 4588

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

LCM of:
and

Least Common Multiple of 4580 and 4588

LCM of 4580 and 4588 is 5253260

Least common multiple can be found by multiplying the highest exponent prime factors of 4580 and 4588. First we will calculate the prime factors of 4580 and 4588.

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 4588


2 4588
2 2294
31 1147
37 37
1

Prime factors of 4588 are 2, 31,37. Prime factorization of 4588 in exponential form is:

4588 = 22×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 4580 and 4588.

LCM(4580,4588) = 22×51×311×371×2291
LCM(4580,4588) = 5253260

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 4588

List of positive integer factors of 4588 that divides 4588 without a remainder.

1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588

Least Common Multiple of 4580 and 4588 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 4588, than apply into the LCM equation.

GCF(4580,4588) = 4
LCM(4580,4588) = ( 4580 × 4588) / 4
LCM(4580,4588) = 21013040 / 4
LCM(4580,4588) = 5253260

Properties of LCM 4580 and 4588

(i) The LCM of 4588 and 4580 is associative

LCM of 4580 and 4588 = LCM of 4588 and 4580

Related Least Common Multiples of 4580

Related Least Common Multiples of 4588

Frequently Asked Questions on LCM of 4580 and 4588

1. What is the LCM of 4580 and 4588?

Answer: LCM of 4580 and 4588 is 5253260.

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 4588?

Answer: Factors of 4588 are 1, 2, 4, 31, 37, 62, 74, 124, 148, 1147, 2294, 4588. There are 12 integers that are factors of 4588. The greatest factor of 4588 is 4588.

4. How to Find the LCM of 4580 and 4588?

Answer:

Least Common Multiple of 4580 and 4588 = 5253260

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

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

LCM = 5253260 = 2 x 2 x 5 x 31 x 37 x 229

Step 4: Therefore, the least common multiple of 4580 and 4588 is 5253260.