Least Common Multiple of 1809 and 1810

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 1810 the smallest integer that is 3274290 that is divisible by both numbers.

Least Common Multiple (LCM) of 1809 and 1810 is 3274290.

LCM(1809,1810) = 3274290

LCM of 1809 and 1810

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

LCM of:
and

Least Common Multiple of 1809 and 1810

LCM of 1809 and 1810 is 3274290

Least common multiple can be found by multiplying the highest exponent prime factors of 1809 and 1810. First we will calculate the prime factors of 1809 and 1810.

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 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1809 and 1810.

LCM(1809,1810) = 21×33×51×671×1811
LCM(1809,1810) = 3274290

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 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1, 2, 5, 10, 181, 362, 905, 1810

Least Common Multiple of 1809 and 1810 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 1810, than apply into the LCM equation.

GCF(1809,1810) = 1
LCM(1809,1810) = ( 1809 × 1810) / 1
LCM(1809,1810) = 3274290 / 1
LCM(1809,1810) = 3274290

Properties of LCM 1809 and 1810

(i) The LCM of 1810 and 1809 is associative

LCM of 1809 and 1810 = LCM of 1810 and 1809

Related Least Common Multiples of 1809

Related Least Common Multiples of 1810

Frequently Asked Questions on LCM of 1809 and 1810

1. What is the LCM of 1809 and 1810?

Answer: LCM of 1809 and 1810 is 3274290.

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 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

4. How to Find the LCM of 1809 and 1810?

Answer:

Least Common Multiple of 1809 and 1810 = 3274290

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1810

1810 = 2 x 5 x 181

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

LCM = 3274290 = 2 x 3 x 3 x 3 x 5 x 67 x 181

Step 4: Therefore, the least common multiple of 1809 and 1810 is 3274290.