Least Common Multiple of 3585 and 3592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3585 and 3592 the smallest integer that is 12877320 that is divisible by both numbers.

Least Common Multiple (LCM) of 3585 and 3592 is 12877320.

LCM(3585,3592) = 12877320

LCM of 3585 and 3592

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

LCM of:
and

Least Common Multiple of 3585 and 3592

LCM of 3585 and 3592 is 12877320

Least common multiple can be found by multiplying the highest exponent prime factors of 3585 and 3592. First we will calculate the prime factors of 3585 and 3592.

Prime Factorization of 3585


3 3585
5 1195
239 239
1

Prime factors of 3585 are 3, 5,239. Prime factorization of 3585 in exponential form is:

3585 = 31×51×2391

Prime Factorization of 3592


2 3592
2 1796
2 898
449 449
1

Prime factors of 3592 are 2,449. Prime factorization of 3592 in exponential form is:

3592 = 23×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 3585 and 3592.

LCM(3585,3592) = 23×31×51×2391×4491
LCM(3585,3592) = 12877320

Factors of 3585

List of positive integer factors of 3585 that divides 3585 without a remainder.

1, 3, 5, 15, 239, 717, 1195, 3585

Factors of 3592

List of positive integer factors of 3592 that divides 3592 without a remainder.

1, 2, 4, 8, 449, 898, 1796, 3592

Least Common Multiple of 3585 and 3592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3585 and 3592, than apply into the LCM equation.

GCF(3585,3592) = 1
LCM(3585,3592) = ( 3585 × 3592) / 1
LCM(3585,3592) = 12877320 / 1
LCM(3585,3592) = 12877320

Properties of LCM 3585 and 3592

(i) The LCM of 3592 and 3585 is associative

LCM of 3585 and 3592 = LCM of 3592 and 3585

Related Least Common Multiples of 3585

Related Least Common Multiples of 3592

Frequently Asked Questions on LCM of 3585 and 3592

1. What is the LCM of 3585 and 3592?

Answer: LCM of 3585 and 3592 is 12877320.

2. What are the Factors of 3585?

Answer: Factors of 3585 are 1, 3, 5, 15, 239, 717, 1195, 3585. There are 8 integers that are factors of 3585. The greatest factor of 3585 is 3585.

3. What are the Factors of 3592?

Answer: Factors of 3592 are 1, 2, 4, 8, 449, 898, 1796, 3592. There are 8 integers that are factors of 3592. The greatest factor of 3592 is 3592.

4. How to Find the LCM of 3585 and 3592?

Answer:

Least Common Multiple of 3585 and 3592 = 12877320

Step 1: Find the prime factorization of 3585

3585 = 3 x 5 x 239

Step 2: Find the prime factorization of 3592

3592 = 2 x 2 x 2 x 449

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

LCM = 12877320 = 2 x 2 x 2 x 3 x 5 x 239 x 449

Step 4: Therefore, the least common multiple of 3585 and 3592 is 12877320.