Least Common Multiple of 1809 and 1816

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 1816 the smallest integer that is 3285144 that is divisible by both numbers.

Least Common Multiple (LCM) of 1809 and 1816 is 3285144.

LCM(1809,1816) = 3285144

LCM of 1809 and 1816

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

LCM of:
and

Least Common Multiple of 1809 and 1816

LCM of 1809 and 1816 is 3285144

Least common multiple can be found by multiplying the highest exponent prime factors of 1809 and 1816. First we will calculate the prime factors of 1809 and 1816.

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 1816


2 1816
2 908
2 454
227 227
1

Prime factors of 1816 are 2,227. Prime factorization of 1816 in exponential form is:

1816 = 23×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 1809 and 1816.

LCM(1809,1816) = 23×33×671×2271
LCM(1809,1816) = 3285144

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 1816

List of positive integer factors of 1816 that divides 1816 without a remainder.

1, 2, 4, 8, 227, 454, 908, 1816

Least Common Multiple of 1809 and 1816 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 1816, than apply into the LCM equation.

GCF(1809,1816) = 1
LCM(1809,1816) = ( 1809 × 1816) / 1
LCM(1809,1816) = 3285144 / 1
LCM(1809,1816) = 3285144

Properties of LCM 1809 and 1816

(i) The LCM of 1816 and 1809 is associative

LCM of 1809 and 1816 = LCM of 1816 and 1809

Related Least Common Multiples of 1809

Related Least Common Multiples of 1816

Frequently Asked Questions on LCM of 1809 and 1816

1. What is the LCM of 1809 and 1816?

Answer: LCM of 1809 and 1816 is 3285144.

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 1816?

Answer: Factors of 1816 are 1, 2, 4, 8, 227, 454, 908, 1816. There are 8 integers that are factors of 1816. The greatest factor of 1816 is 1816.

4. How to Find the LCM of 1809 and 1816?

Answer:

Least Common Multiple of 1809 and 1816 = 3285144

Step 1: Find the prime factorization of 1809

1809 = 3 x 3 x 3 x 67

Step 2: Find the prime factorization of 1816

1816 = 2 x 2 x 2 x 227

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

LCM = 3285144 = 2 x 2 x 2 x 3 x 3 x 3 x 67 x 227

Step 4: Therefore, the least common multiple of 1809 and 1816 is 3285144.