Least Common Multiple of 3585 and 3590

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 3590 the smallest integer that is 2574030 that is divisible by both numbers.

Least Common Multiple (LCM) of 3585 and 3590 is 2574030.

LCM(3585,3590) = 2574030

LCM of 3585 and 3590

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

LCM of:
and

Least Common Multiple of 3585 and 3590

LCM of 3585 and 3590 is 2574030

Least common multiple can be found by multiplying the highest exponent prime factors of 3585 and 3590. First we will calculate the prime factors of 3585 and 3590.

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 3590


2 3590
5 1795
359 359
1

Prime factors of 3590 are 2, 5,359. Prime factorization of 3590 in exponential form is:

3590 = 21×51×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 3585 and 3590.

LCM(3585,3590) = 21×31×51×2391×3591
LCM(3585,3590) = 2574030

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 3590

List of positive integer factors of 3590 that divides 3590 without a remainder.

1, 2, 5, 10, 359, 718, 1795, 3590

Least Common Multiple of 3585 and 3590 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 3590, than apply into the LCM equation.

GCF(3585,3590) = 5
LCM(3585,3590) = ( 3585 × 3590) / 5
LCM(3585,3590) = 12870150 / 5
LCM(3585,3590) = 2574030

Properties of LCM 3585 and 3590

(i) The LCM of 3590 and 3585 is associative

LCM of 3585 and 3590 = LCM of 3590 and 3585

Related Least Common Multiples of 3585

Related Least Common Multiples of 3590

Frequently Asked Questions on LCM of 3585 and 3590

1. What is the LCM of 3585 and 3590?

Answer: LCM of 3585 and 3590 is 2574030.

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 3590?

Answer: Factors of 3590 are 1, 2, 5, 10, 359, 718, 1795, 3590. There are 8 integers that are factors of 3590. The greatest factor of 3590 is 3590.

4. How to Find the LCM of 3585 and 3590?

Answer:

Least Common Multiple of 3585 and 3590 = 2574030

Step 1: Find the prime factorization of 3585

3585 = 3 x 5 x 239

Step 2: Find the prime factorization of 3590

3590 = 2 x 5 x 359

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

LCM = 2574030 = 2 x 3 x 5 x 239 x 359

Step 4: Therefore, the least common multiple of 3585 and 3590 is 2574030.