Least Common Multiple of 3593 and 3601

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3593 and 3601 the smallest integer that is 12938393 that is divisible by both numbers.

Least Common Multiple (LCM) of 3593 and 3601 is 12938393.

LCM(3593,3601) = 12938393

LCM of 3593 and 3601

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

LCM of:
and

Least Common Multiple of 3593 and 3601

LCM of 3593 and 3601 is 12938393

Least common multiple can be found by multiplying the highest exponent prime factors of 3593 and 3601. First we will calculate the prime factors of 3593 and 3601.

Prime Factorization of 3593


3593 3593
1

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

3593 = 35931

Prime Factorization of 3601


13 3601
277 277
1

Prime factors of 3601 are 13,277. Prime factorization of 3601 in exponential form is:

3601 = 131×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 3593 and 3601.

LCM(3593,3601) = 131×2771×35931
LCM(3593,3601) = 12938393

Factors of 3593

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

1, 3593

Factors of 3601

List of positive integer factors of 3601 that divides 3601 without a remainder.

1, 13, 277, 3601

Least Common Multiple of 3593 and 3601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3593 and 3601, than apply into the LCM equation.

GCF(3593,3601) = 1
LCM(3593,3601) = ( 3593 × 3601) / 1
LCM(3593,3601) = 12938393 / 1
LCM(3593,3601) = 12938393

Properties of LCM 3593 and 3601

(i) The LCM of 3601 and 3593 is associative

LCM of 3593 and 3601 = LCM of 3601 and 3593

Related Least Common Multiples of 3593

Related Least Common Multiples of 3601

Frequently Asked Questions on LCM of 3593 and 3601

1. What is the LCM of 3593 and 3601?

Answer: LCM of 3593 and 3601 is 12938393.

2. 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.

3. What are the Factors of 3601?

Answer: Factors of 3601 are 1, 13, 277, 3601. There are 4 integers that are factors of 3601. The greatest factor of 3601 is 3601.

4. How to Find the LCM of 3593 and 3601?

Answer:

Least Common Multiple of 3593 and 3601 = 12938393

Step 1: Find the prime factorization of 3593

3593 = 3593

Step 2: Find the prime factorization of 3601

3601 = 13 x 277

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

LCM = 12938393 = 13 x 277 x 3593

Step 4: Therefore, the least common multiple of 3593 and 3601 is 12938393.