Least Common Multiple of 3609 and 3613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3609 and 3613 the smallest integer that is 13039317 that is divisible by both numbers.

Least Common Multiple (LCM) of 3609 and 3613 is 13039317.

LCM(3609,3613) = 13039317

LCM of 3609 and 3613

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

LCM of:
and

Least Common Multiple of 3609 and 3613

LCM of 3609 and 3613 is 13039317

Least common multiple can be found by multiplying the highest exponent prime factors of 3609 and 3613. First we will calculate the prime factors of 3609 and 3613.

Prime Factorization of 3609


3 3609
3 1203
401 401
1

Prime factors of 3609 are 3,401. Prime factorization of 3609 in exponential form is:

3609 = 32×4011

Prime Factorization of 3613


3613 3613
1

Prime factors of 3613 are 3613. Prime factorization of 3613 in exponential form is:

3613 = 36131

Now multiplying the highest exponent prime factors to calculate the LCM of 3609 and 3613.

LCM(3609,3613) = 32×4011×36131
LCM(3609,3613) = 13039317

Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203, 3609

Factors of 3613

List of positive integer factors of 3613 that divides 3613 without a remainder.

1, 3613

Least Common Multiple of 3609 and 3613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3609 and 3613, than apply into the LCM equation.

GCF(3609,3613) = 1
LCM(3609,3613) = ( 3609 × 3613) / 1
LCM(3609,3613) = 13039317 / 1
LCM(3609,3613) = 13039317

Properties of LCM 3609 and 3613

(i) The LCM of 3613 and 3609 is associative

LCM of 3609 and 3613 = LCM of 3613 and 3609

Related Least Common Multiples of 3609

Related Least Common Multiples of 3613

Frequently Asked Questions on LCM of 3609 and 3613

1. What is the LCM of 3609 and 3613?

Answer: LCM of 3609 and 3613 is 13039317.

2. What are the Factors of 3609?

Answer: Factors of 3609 are 1, 3, 9, 401, 1203, 3609. There are 6 integers that are factors of 3609. The greatest factor of 3609 is 3609.

3. What are the Factors of 3613?

Answer: Factors of 3613 are 1, 3613. There are 2 integers that are factors of 3613. The greatest factor of 3613 is 3613.

4. How to Find the LCM of 3609 and 3613?

Answer:

Least Common Multiple of 3609 and 3613 = 13039317

Step 1: Find the prime factorization of 3609

3609 = 3 x 3 x 401

Step 2: Find the prime factorization of 3613

3613 = 3613

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

LCM = 13039317 = 3 x 3 x 401 x 3613

Step 4: Therefore, the least common multiple of 3609 and 3613 is 13039317.