Least Common Multiple of 3585 and 3593

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 3593 the smallest integer that is 12880905 that is divisible by both numbers.

Least Common Multiple (LCM) of 3585 and 3593 is 12880905.

LCM(3585,3593) = 12880905

LCM of 3585 and 3593

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

LCM of:
and

Least Common Multiple of 3585 and 3593

LCM of 3585 and 3593 is 12880905

Least common multiple can be found by multiplying the highest exponent prime factors of 3585 and 3593. First we will calculate the prime factors of 3585 and 3593.

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 3593


3593 3593
1

Prime factors of 3593 are 3593. Prime factorization of 3593 in exponential form is:

3593 = 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 3585 and 3593.

LCM(3585,3593) = 31×51×2391×35931
LCM(3585,3593) = 12880905

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 3593

List of positive integer factors of 3593 that divides 3593 without a remainder.

1, 3593

Least Common Multiple of 3585 and 3593 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 3593, than apply into the LCM equation.

GCF(3585,3593) = 1
LCM(3585,3593) = ( 3585 × 3593) / 1
LCM(3585,3593) = 12880905 / 1
LCM(3585,3593) = 12880905

Properties of LCM 3585 and 3593

(i) The LCM of 3593 and 3585 is associative

LCM of 3585 and 3593 = LCM of 3593 and 3585

Related Least Common Multiples of 3585

Related Least Common Multiples of 3593

Frequently Asked Questions on LCM of 3585 and 3593

1. What is the LCM of 3585 and 3593?

Answer: LCM of 3585 and 3593 is 12880905.

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 3593?

Answer: Factors of 3593 are 1, 3593. There are 2 integers that are factors of 3593. The greatest factor of 3593 is 3593.

4. How to Find the LCM of 3585 and 3593?

Answer:

Least Common Multiple of 3585 and 3593 = 12880905

Step 1: Find the prime factorization of 3585

3585 = 3 x 5 x 239

Step 2: Find the prime factorization of 3593

3593 = 3593

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

LCM = 12880905 = 3 x 5 x 239 x 3593

Step 4: Therefore, the least common multiple of 3585 and 3593 is 12880905.