Least Common Multiple of 4585 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 4585 and 4592 the smallest integer that is 3007760 that is divisible by both numbers.

Least Common Multiple (LCM) of 4585 and 4592 is 3007760.

LCM(4585,4592) = 3007760

LCM of 4585 and 4592

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

LCM of:
and

Least Common Multiple of 4585 and 4592

LCM of 4585 and 4592 is 3007760

Least common multiple can be found by multiplying the highest exponent prime factors of 4585 and 4592. First we will calculate the prime factors of 4585 and 4592.

Prime Factorization of 4585


5 4585
7 917
131 131
1

Prime factors of 4585 are 5, 7,131. Prime factorization of 4585 in exponential form is:

4585 = 51×71×1311

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 4585 and 4592.

LCM(4585,4592) = 24×51×71×411×1311
LCM(4585,4592) = 3007760

Factors of 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1, 5, 7, 35, 131, 655, 917, 4585

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 4585 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 4585 and 4592, than apply into the LCM equation.

GCF(4585,4592) = 7
LCM(4585,4592) = ( 4585 × 4592) / 7
LCM(4585,4592) = 21054320 / 7
LCM(4585,4592) = 3007760

Properties of LCM 4585 and 4592

(i) The LCM of 4592 and 4585 is associative

LCM of 4585 and 4592 = LCM of 4592 and 4585

Related Least Common Multiples of 4585

Related Least Common Multiples of 4592

Frequently Asked Questions on LCM of 4585 and 4592

1. What is the LCM of 4585 and 4592?

Answer: LCM of 4585 and 4592 is 3007760.

2. What are the Factors of 4585?

Answer: Factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585. There are 8 integers that are factors of 4585. The greatest factor of 4585 is 4585.

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 4585 and 4592?

Answer:

Least Common Multiple of 4585 and 4592 = 3007760

Step 1: Find the prime factorization of 4585

4585 = 5 x 7 x 131

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 = 3007760 = 2 x 2 x 2 x 2 x 5 x 7 x 41 x 131

Step 4: Therefore, the least common multiple of 4585 and 4592 is 3007760.