Least Common Multiple of 3605 and 3609

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3605 and 3609 the smallest integer that is 13010445 that is divisible by both numbers.

Least Common Multiple (LCM) of 3605 and 3609 is 13010445.

LCM(3605,3609) = 13010445

LCM of 3605 and 3609

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

LCM of:
and

Least Common Multiple of 3605 and 3609

LCM of 3605 and 3609 is 13010445

Least common multiple can be found by multiplying the highest exponent prime factors of 3605 and 3609. First we will calculate the prime factors of 3605 and 3609.

Prime Factorization of 3605


5 3605
7 721
103 103
1

Prime factors of 3605 are 5, 7,103. Prime factorization of 3605 in exponential form is:

3605 = 51×71×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3605 and 3609.

LCM(3605,3609) = 32×51×71×1031×4011
LCM(3605,3609) = 13010445

Factors of 3605

List of positive integer factors of 3605 that divides 3605 without a remainder.

1, 5, 7, 35, 103, 515, 721, 3605

Factors of 3609

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

1, 3, 9, 401, 1203, 3609

Least Common Multiple of 3605 and 3609 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3605 and 3609, than apply into the LCM equation.

GCF(3605,3609) = 1
LCM(3605,3609) = ( 3605 × 3609) / 1
LCM(3605,3609) = 13010445 / 1
LCM(3605,3609) = 13010445

Properties of LCM 3605 and 3609

(i) The LCM of 3609 and 3605 is associative

LCM of 3605 and 3609 = LCM of 3609 and 3605

Related Least Common Multiples of 3605

Related Least Common Multiples of 3609

Frequently Asked Questions on LCM of 3605 and 3609

1. What is the LCM of 3605 and 3609?

Answer: LCM of 3605 and 3609 is 13010445.

2. What are the Factors of 3605?

Answer: Factors of 3605 are 1, 5, 7, 35, 103, 515, 721, 3605. There are 8 integers that are factors of 3605. The greatest factor of 3605 is 3605.

3. 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.

4. How to Find the LCM of 3605 and 3609?

Answer:

Least Common Multiple of 3605 and 3609 = 13010445

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

Step 2: Find the prime factorization of 3609

3609 = 3 x 3 x 401

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

LCM = 13010445 = 3 x 3 x 5 x 7 x 103 x 401

Step 4: Therefore, the least common multiple of 3605 and 3609 is 13010445.