Least Common Multiple of 1804 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 1804 and 1811 the smallest integer that is 3267044 that is divisible by both numbers.

Least Common Multiple (LCM) of 1804 and 1811 is 3267044.

LCM(1804,1811) = 3267044

LCM of 1804 and 1811

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

LCM of:
and

Least Common Multiple of 1804 and 1811

LCM of 1804 and 1811 is 3267044

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1811. First we will calculate the prime factors of 1804 and 1811.

Prime Factorization of 1804


2 1804
2 902
11 451
41 41
1

Prime factors of 1804 are 2, 11,41. Prime factorization of 1804 in exponential form is:

1804 = 22×111×411

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 1804 and 1811.

LCM(1804,1811) = 22×111×411×18111
LCM(1804,1811) = 3267044

Factors of 1804

List of positive integer factors of 1804 that divides 1804 without a remainder.

1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804

Factors of 1811

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

1, 1811

Least Common Multiple of 1804 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 1804 and 1811, than apply into the LCM equation.

GCF(1804,1811) = 1
LCM(1804,1811) = ( 1804 × 1811) / 1
LCM(1804,1811) = 3267044 / 1
LCM(1804,1811) = 3267044

Properties of LCM 1804 and 1811

(i) The LCM of 1811 and 1804 is associative

LCM of 1804 and 1811 = LCM of 1811 and 1804

Related Least Common Multiples of 1804

Related Least Common Multiples of 1811

Frequently Asked Questions on LCM of 1804 and 1811

1. What is the LCM of 1804 and 1811?

Answer: LCM of 1804 and 1811 is 3267044.

2. What are the Factors of 1804?

Answer: Factors of 1804 are 1, 2, 4, 11, 22, 41, 44, 82, 164, 451, 902, 1804. There are 12 integers that are factors of 1804. The greatest factor of 1804 is 1804.

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 1804 and 1811?

Answer:

Least Common Multiple of 1804 and 1811 = 3267044

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

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 = 3267044 = 2 x 2 x 11 x 41 x 1811

Step 4: Therefore, the least common multiple of 1804 and 1811 is 3267044.