Least Common Multiple of 1809 and 1811

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1809 and 1811 the smallest integer that is 3276099 that is divisible by both numbers.

Least Common Multiple (LCM) of 1809 and 1811 is 3276099.

LCM(1809,1811) = 3276099

LCM of 1809 and 1811

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

LCM of:
and

Least Common Multiple of 1809 and 1811

LCM of 1809 and 1811 is 3276099

Least common multiple can be found by multiplying the highest exponent prime factors of 1809 and 1811. First we will calculate the prime factors of 1809 and 1811.

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

Prime Factorization of 1811


1811 1811
1

Prime factors of 1811 are 1811. Prime factorization of 1811 in exponential form is:

1811 = 18111

Now multiplying the highest exponent prime factors to calculate the LCM of 1809 and 1811.

LCM(1809,1811) = 33×671×18111
LCM(1809,1811) = 3276099

Factors of 1809

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

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

Factors of 1811

List of positive integer factors of 1811 that divides 1811 without a remainder.

1, 1811

Least Common Multiple of 1809 and 1811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1809 and 1811, than apply into the LCM equation.

GCF(1809,1811) = 1
LCM(1809,1811) = ( 1809 × 1811) / 1
LCM(1809,1811) = 3276099 / 1
LCM(1809,1811) = 3276099

Properties of LCM 1809 and 1811

(i) The LCM of 1811 and 1809 is associative

LCM of 1809 and 1811 = LCM of 1811 and 1809

Related Least Common Multiples of 1809

Related Least Common Multiples of 1811

Frequently Asked Questions on LCM of 1809 and 1811

1. What is the LCM of 1809 and 1811?

Answer: LCM of 1809 and 1811 is 3276099.

2. 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.

3. What are the Factors of 1811?

Answer: Factors of 1811 are 1, 1811. There are 2 integers that are factors of 1811. The greatest factor of 1811 is 1811.

4. How to Find the LCM of 1809 and 1811?

Answer:

Least Common Multiple of 1809 and 1811 = 3276099

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1811

1811 = 1811

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

LCM = 3276099 = 3 x 3 x 3 x 67 x 1811

Step 4: Therefore, the least common multiple of 1809 and 1811 is 3276099.