Least Common Multiple of 1809 and 1812

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 1812 the smallest integer that is 1092636 that is divisible by both numbers.

Least Common Multiple (LCM) of 1809 and 1812 is 1092636.

LCM(1809,1812) = 1092636

LCM of 1809 and 1812

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

LCM of:
and

Least Common Multiple of 1809 and 1812

LCM of 1809 and 1812 is 1092636

Least common multiple can be found by multiplying the highest exponent prime factors of 1809 and 1812. First we will calculate the prime factors of 1809 and 1812.

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 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2, 3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1809 and 1812.

LCM(1809,1812) = 22×33×671×1511
LCM(1809,1812) = 1092636

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 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

Least Common Multiple of 1809 and 1812 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 1812, than apply into the LCM equation.

GCF(1809,1812) = 3
LCM(1809,1812) = ( 1809 × 1812) / 3
LCM(1809,1812) = 3277908 / 3
LCM(1809,1812) = 1092636

Properties of LCM 1809 and 1812

(i) The LCM of 1812 and 1809 is associative

LCM of 1809 and 1812 = LCM of 1812 and 1809

Related Least Common Multiples of 1809

Related Least Common Multiples of 1812

Frequently Asked Questions on LCM of 1809 and 1812

1. What is the LCM of 1809 and 1812?

Answer: LCM of 1809 and 1812 is 1092636.

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 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

4. How to Find the LCM of 1809 and 1812?

Answer:

Least Common Multiple of 1809 and 1812 = 1092636

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

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

LCM = 1092636 = 2 x 2 x 3 x 3 x 3 x 67 x 151

Step 4: Therefore, the least common multiple of 1809 and 1812 is 1092636.