Least Common Multiple of 1805 and 1809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1805 and 1809 the smallest integer that is 3265245 that is divisible by both numbers.

Least Common Multiple (LCM) of 1805 and 1809 is 3265245.

LCM(1805,1809) = 3265245

LCM of 1805 and 1809

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

LCM of:
and

Least Common Multiple of 1805 and 1809

LCM of 1805 and 1809 is 3265245

Least common multiple can be found by multiplying the highest exponent prime factors of 1805 and 1809. First we will calculate the prime factors of 1805 and 1809.

Prime Factorization of 1805


5 1805
19 361
19 19
1

Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:

1805 = 51×192

Prime Factorization of 1809


3 1809
3 603
3 201
67 67
1

Prime factors of 1809 are 3,67. Prime factorization of 1809 in exponential form is:

1809 = 33×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1805 and 1809.

LCM(1805,1809) = 33×51×192×671
LCM(1805,1809) = 3265245

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1, 5, 19, 95, 361, 1805

Factors of 1809

List of positive integer factors of 1809 that divides 1809 without a remainder.

1, 3, 9, 27, 67, 201, 603, 1809

Least Common Multiple of 1805 and 1809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1805 and 1809, than apply into the LCM equation.

GCF(1805,1809) = 1
LCM(1805,1809) = ( 1805 × 1809) / 1
LCM(1805,1809) = 3265245 / 1
LCM(1805,1809) = 3265245

Properties of LCM 1805 and 1809

(i) The LCM of 1809 and 1805 is associative

LCM of 1805 and 1809 = LCM of 1809 and 1805

Related Least Common Multiples of 1805

Related Least Common Multiples of 1809

Frequently Asked Questions on LCM of 1805 and 1809

1. What is the LCM of 1805 and 1809?

Answer: LCM of 1805 and 1809 is 3265245.

2. What are the Factors of 1805?

Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.

3. What are the Factors of 1809?

Answer: Factors of 1809 are 1, 3, 9, 27, 67, 201, 603, 1809. There are 8 integers that are factors of 1809. The greatest factor of 1809 is 1809.

4. How to Find the LCM of 1805 and 1809?

Answer:

Least Common Multiple of 1805 and 1809 = 3265245

Step 1: Find the prime factorization of 1805

1805 = 5 x 19 x 19

Step 2: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

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

LCM = 3265245 = 3 x 3 x 3 x 5 x 19 x 19 x 67

Step 4: Therefore, the least common multiple of 1805 and 1809 is 3265245.