Least Common Multiple of 3593 and 3599

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 3599 the smallest integer that is 12931207 that is divisible by both numbers.

Least Common Multiple (LCM) of 3593 and 3599 is 12931207.

LCM(3593,3599) = 12931207

LCM of 3593 and 3599

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

LCM of:
and

Least Common Multiple of 3593 and 3599

LCM of 3593 and 3599 is 12931207

Least common multiple can be found by multiplying the highest exponent prime factors of 3593 and 3599. First we will calculate the prime factors of 3593 and 3599.

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 3599


59 3599
61 61
1

Prime factors of 3599 are 59,61. Prime factorization of 3599 in exponential form is:

3599 = 591×611

Now multiplying the highest exponent prime factors to calculate the LCM of 3593 and 3599.

LCM(3593,3599) = 591×611×35931
LCM(3593,3599) = 12931207

Factors of 3593

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

1, 3593

Factors of 3599

List of positive integer factors of 3599 that divides 3599 without a remainder.

1, 59, 61, 3599

Least Common Multiple of 3593 and 3599 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 3599, than apply into the LCM equation.

GCF(3593,3599) = 1
LCM(3593,3599) = ( 3593 × 3599) / 1
LCM(3593,3599) = 12931207 / 1
LCM(3593,3599) = 12931207

Properties of LCM 3593 and 3599

(i) The LCM of 3599 and 3593 is associative

LCM of 3593 and 3599 = LCM of 3599 and 3593

Related Least Common Multiples of 3593

Related Least Common Multiples of 3599

Frequently Asked Questions on LCM of 3593 and 3599

1. What is the LCM of 3593 and 3599?

Answer: LCM of 3593 and 3599 is 12931207.

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 3599?

Answer: Factors of 3599 are 1, 59, 61, 3599. There are 4 integers that are factors of 3599. The greatest factor of 3599 is 3599.

4. How to Find the LCM of 3593 and 3599?

Answer:

Least Common Multiple of 3593 and 3599 = 12931207

Step 1: Find the prime factorization of 3593

3593 = 3593

Step 2: Find the prime factorization of 3599

3599 = 59 x 61

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

LCM = 12931207 = 59 x 61 x 3593

Step 4: Therefore, the least common multiple of 3593 and 3599 is 12931207.