Least Common Multiple of 1806 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 1806 and 1809 the smallest integer that is 1089018 that is divisible by both numbers.

Least Common Multiple (LCM) of 1806 and 1809 is 1089018.

LCM(1806,1809) = 1089018

LCM of 1806 and 1809

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

LCM of:
and

Least Common Multiple of 1806 and 1809

LCM of 1806 and 1809 is 1089018

Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1809. First we will calculate the prime factors of 1806 and 1809.

Prime Factorization of 1806


2 1806
3 903
7 301
43 43
1

Prime factors of 1806 are 2, 3, 7,43. Prime factorization of 1806 in exponential form is:

1806 = 21×31×71×431

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 1806 and 1809.

LCM(1806,1809) = 21×33×71×431×671
LCM(1806,1809) = 1089018

Factors of 1806

List of positive integer factors of 1806 that divides 1806 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806

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 1806 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 1806 and 1809, than apply into the LCM equation.

GCF(1806,1809) = 3
LCM(1806,1809) = ( 1806 × 1809) / 3
LCM(1806,1809) = 3267054 / 3
LCM(1806,1809) = 1089018

Properties of LCM 1806 and 1809

(i) The LCM of 1809 and 1806 is associative

LCM of 1806 and 1809 = LCM of 1809 and 1806

Related Least Common Multiples of 1806

Related Least Common Multiples of 1809

Frequently Asked Questions on LCM of 1806 and 1809

1. What is the LCM of 1806 and 1809?

Answer: LCM of 1806 and 1809 is 1089018.

2. What are the Factors of 1806?

Answer: Factors of 1806 are 1, 2, 3, 6, 7, 14, 21, 42, 43, 86, 129, 258, 301, 602, 903, 1806. There are 16 integers that are factors of 1806. The greatest factor of 1806 is 1806.

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 1806 and 1809?

Answer:

Least Common Multiple of 1806 and 1809 = 1089018

Step 1: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

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 = 1089018 = 2 x 3 x 3 x 3 x 7 x 43 x 67

Step 4: Therefore, the least common multiple of 1806 and 1809 is 1089018.