Least Common Multiple of 3604 and 3605

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3604 and 3605 the smallest integer that is 12992420 that is divisible by both numbers.

Least Common Multiple (LCM) of 3604 and 3605 is 12992420.

LCM(3604,3605) = 12992420

LCM of 3604 and 3605

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

LCM of:
and

Least Common Multiple of 3604 and 3605

LCM of 3604 and 3605 is 12992420

Least common multiple can be found by multiplying the highest exponent prime factors of 3604 and 3605. First we will calculate the prime factors of 3604 and 3605.

Prime Factorization of 3604


2 3604
2 1802
17 901
53 53
1

Prime factors of 3604 are 2, 17,53. Prime factorization of 3604 in exponential form is:

3604 = 22×171×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3604 and 3605.

LCM(3604,3605) = 22×51×71×171×531×1031
LCM(3604,3605) = 12992420

Factors of 3604

List of positive integer factors of 3604 that divides 3604 without a remainder.

1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604

Factors of 3605

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

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

Least Common Multiple of 3604 and 3605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3604 and 3605, than apply into the LCM equation.

GCF(3604,3605) = 1
LCM(3604,3605) = ( 3604 × 3605) / 1
LCM(3604,3605) = 12992420 / 1
LCM(3604,3605) = 12992420

Properties of LCM 3604 and 3605

(i) The LCM of 3605 and 3604 is associative

LCM of 3604 and 3605 = LCM of 3605 and 3604

Related Least Common Multiples of 3604

Related Least Common Multiples of 3605

Frequently Asked Questions on LCM of 3604 and 3605

1. What is the LCM of 3604 and 3605?

Answer: LCM of 3604 and 3605 is 12992420.

2. What are the Factors of 3604?

Answer: Factors of 3604 are 1, 2, 4, 17, 34, 53, 68, 106, 212, 901, 1802, 3604. There are 12 integers that are factors of 3604. The greatest factor of 3604 is 3604.

3. 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.

4. How to Find the LCM of 3604 and 3605?

Answer:

Least Common Multiple of 3604 and 3605 = 12992420

Step 1: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

Step 2: Find the prime factorization of 3605

3605 = 5 x 7 x 103

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

LCM = 12992420 = 2 x 2 x 5 x 7 x 17 x 53 x 103

Step 4: Therefore, the least common multiple of 3604 and 3605 is 12992420.