Least Common Multiple of 4588 and 4592

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 4592 the smallest integer that is 5267024 that is divisible by both numbers.

Least Common Multiple (LCM) of 4588 and 4592 is 5267024.

LCM(4588,4592) = 5267024

LCM of 4588 and 4592

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

LCM of:
and

Least Common Multiple of 4588 and 4592

LCM of 4588 and 4592 is 5267024

Least common multiple can be found by multiplying the highest exponent prime factors of 4588 and 4592. First we will calculate the prime factors of 4588 and 4592.

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 4592


2 4592
2 2296
2 1148
2 574
7 287
41 41
1

Prime factors of 4592 are 2, 7,41. Prime factorization of 4592 in exponential form is:

4592 = 24×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 4588 and 4592.

LCM(4588,4592) = 24×71×311×371×411
LCM(4588,4592) = 5267024

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 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592

Least Common Multiple of 4588 and 4592 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 4592, than apply into the LCM equation.

GCF(4588,4592) = 4
LCM(4588,4592) = ( 4588 × 4592) / 4
LCM(4588,4592) = 21068096 / 4
LCM(4588,4592) = 5267024

Properties of LCM 4588 and 4592

(i) The LCM of 4592 and 4588 is associative

LCM of 4588 and 4592 = LCM of 4592 and 4588

Related Least Common Multiples of 4588

Related Least Common Multiples of 4592

Frequently Asked Questions on LCM of 4588 and 4592

1. What is the LCM of 4588 and 4592?

Answer: LCM of 4588 and 4592 is 5267024.

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 4592?

Answer: Factors of 4592 are 1, 2, 4, 7, 8, 14, 16, 28, 41, 56, 82, 112, 164, 287, 328, 574, 656, 1148, 2296, 4592. There are 20 integers that are factors of 4592. The greatest factor of 4592 is 4592.

4. How to Find the LCM of 4588 and 4592?

Answer:

Least Common Multiple of 4588 and 4592 = 5267024

Step 1: Find the prime factorization of 4588

4588 = 2 x 2 x 31 x 37

Step 2: Find the prime factorization of 4592

4592 = 2 x 2 x 2 x 2 x 7 x 41

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

LCM = 5267024 = 2 x 2 x 2 x 2 x 7 x 31 x 37 x 41

Step 4: Therefore, the least common multiple of 4588 and 4592 is 5267024.