Least Common Multiple of 3605 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 3605 and 3613 the smallest integer that is 13024865 that is divisible by both numbers.

Least Common Multiple (LCM) of 3605 and 3613 is 13024865.

LCM(3605,3613) = 13024865

LCM of 3605 and 3613

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

LCM of:
and

Least Common Multiple of 3605 and 3613

LCM of 3605 and 3613 is 13024865

Least common multiple can be found by multiplying the highest exponent prime factors of 3605 and 3613. First we will calculate the prime factors of 3605 and 3613.

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 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 3605 and 3613.

LCM(3605,3613) = 51×71×1031×36131
LCM(3605,3613) = 13024865

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 3613

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

1, 3613

Least Common Multiple of 3605 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 3605 and 3613, than apply into the LCM equation.

GCF(3605,3613) = 1
LCM(3605,3613) = ( 3605 × 3613) / 1
LCM(3605,3613) = 13024865 / 1
LCM(3605,3613) = 13024865

Properties of LCM 3605 and 3613

(i) The LCM of 3613 and 3605 is associative

LCM of 3605 and 3613 = LCM of 3613 and 3605

Related Least Common Multiples of 3605

Related Least Common Multiples of 3613

Frequently Asked Questions on LCM of 3605 and 3613

1. What is the LCM of 3605 and 3613?

Answer: LCM of 3605 and 3613 is 13024865.

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 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 3605 and 3613?

Answer:

Least Common Multiple of 3605 and 3613 = 13024865

Step 1: Find the prime factorization of 3605

3605 = 5 x 7 x 103

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 = 13024865 = 5 x 7 x 103 x 3613

Step 4: Therefore, the least common multiple of 3605 and 3613 is 13024865.