Least Common Multiple of 3600 and 3604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3600 and 3604 the smallest integer that is 3243600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3604 is 3243600.

LCM(3600,3604) = 3243600

LCM of 3600 and 3604

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

LCM of:
and

Least Common Multiple of 3600 and 3604

LCM of 3600 and 3604 is 3243600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3604. First we will calculate the prime factors of 3600 and 3604.

Prime Factorization of 3600


2 3600
2 1800
2 900
2 450
3 225
3 75
5 25
5 5
1

Prime factors of 3600 are 2, 3,5. Prime factorization of 3600 in exponential form is:

3600 = 24×32×52

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3600 and 3604.

LCM(3600,3604) = 24×32×52×171×531
LCM(3600,3604) = 3243600

Factors of 3600

List of positive integer factors of 3600 that divides 3600 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600

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

Least Common Multiple of 3600 and 3604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3600 and 3604, than apply into the LCM equation.

GCF(3600,3604) = 4
LCM(3600,3604) = ( 3600 × 3604) / 4
LCM(3600,3604) = 12974400 / 4
LCM(3600,3604) = 3243600

Properties of LCM 3600 and 3604

(i) The LCM of 3604 and 3600 is associative

LCM of 3600 and 3604 = LCM of 3604 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3604

Frequently Asked Questions on LCM of 3600 and 3604

1. What is the LCM of 3600 and 3604?

Answer: LCM of 3600 and 3604 is 3243600.

2. What are the Factors of 3600?

Answer: Factors of 3600 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 30, 36, 40, 45, 48, 50, 60, 72, 75, 80, 90, 100, 120, 144, 150, 180, 200, 225, 240, 300, 360, 400, 450, 600, 720, 900, 1200, 1800, 3600. There are 45 integers that are factors of 3600. The greatest factor of 3600 is 3600.

3. 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.

4. How to Find the LCM of 3600 and 3604?

Answer:

Least Common Multiple of 3600 and 3604 = 3243600

Step 1: Find the prime factorization of 3600

3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 3604

3604 = 2 x 2 x 17 x 53

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

LCM = 3243600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 17 x 53

Step 4: Therefore, the least common multiple of 3600 and 3604 is 3243600.