Least Common Multiple of 4588 and 4593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4588 and 4593 the smallest integer that is 21072684 that is divisible by both numbers.

Least Common Multiple (LCM) of 4588 and 4593 is 21072684.

LCM(4588,4593) = 21072684

LCM of 4588 and 4593

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

LCM of:
and

Least Common Multiple of 4588 and 4593

LCM of 4588 and 4593 is 21072684

Least common multiple can be found by multiplying the highest exponent prime factors of 4588 and 4593. First we will calculate the prime factors of 4588 and 4593.

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

Prime Factorization of 4593


3 4593
1531 1531
1

Prime factors of 4593 are 3,1531. Prime factorization of 4593 in exponential form is:

4593 = 31×15311

Now multiplying the highest exponent prime factors to calculate the LCM of 4588 and 4593.

LCM(4588,4593) = 22×31×311×371×15311
LCM(4588,4593) = 21072684

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

Factors of 4593

List of positive integer factors of 4593 that divides 4593 without a remainder.

1, 3, 1531, 4593

Least Common Multiple of 4588 and 4593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4588 and 4593, than apply into the LCM equation.

GCF(4588,4593) = 1
LCM(4588,4593) = ( 4588 × 4593) / 1
LCM(4588,4593) = 21072684 / 1
LCM(4588,4593) = 21072684

Properties of LCM 4588 and 4593

(i) The LCM of 4593 and 4588 is associative

LCM of 4588 and 4593 = LCM of 4593 and 4588

Related Least Common Multiples of 4588

Related Least Common Multiples of 4593

Frequently Asked Questions on LCM of 4588 and 4593

1. What is the LCM of 4588 and 4593?

Answer: LCM of 4588 and 4593 is 21072684.

2. 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.

3. What are the Factors of 4593?

Answer: Factors of 4593 are 1, 3, 1531, 4593. There are 4 integers that are factors of 4593. The greatest factor of 4593 is 4593.

4. How to Find the LCM of 4588 and 4593?

Answer:

Least Common Multiple of 4588 and 4593 = 21072684

Step 1: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

Step 2: Find the prime factorization of 4593

4593 = 3 x 1531

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

LCM = 21072684 = 2 x 2 x 3 x 31 x 37 x 1531

Step 4: Therefore, the least common multiple of 4588 and 4593 is 21072684.