Least Common Multiple of 3600 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 3600 and 3605 the smallest integer that is 2595600 that is divisible by both numbers.

Least Common Multiple (LCM) of 3600 and 3605 is 2595600.

LCM(3600,3605) = 2595600

LCM of 3600 and 3605

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

LCM of:
and

Least Common Multiple of 3600 and 3605

LCM of 3600 and 3605 is 2595600

Least common multiple can be found by multiplying the highest exponent prime factors of 3600 and 3605. First we will calculate the prime factors of 3600 and 3605.

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 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 3600 and 3605.

LCM(3600,3605) = 24×32×52×71×1031
LCM(3600,3605) = 2595600

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 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 3600 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 3600 and 3605, than apply into the LCM equation.

GCF(3600,3605) = 5
LCM(3600,3605) = ( 3600 × 3605) / 5
LCM(3600,3605) = 12978000 / 5
LCM(3600,3605) = 2595600

Properties of LCM 3600 and 3605

(i) The LCM of 3605 and 3600 is associative

LCM of 3600 and 3605 = LCM of 3605 and 3600

Related Least Common Multiples of 3600

Related Least Common Multiples of 3605

Frequently Asked Questions on LCM of 3600 and 3605

1. What is the LCM of 3600 and 3605?

Answer: LCM of 3600 and 3605 is 2595600.

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 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 3600 and 3605?

Answer:

Least Common Multiple of 3600 and 3605 = 2595600

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 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 = 2595600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 103

Step 4: Therefore, the least common multiple of 3600 and 3605 is 2595600.