Least Common Multiple of 1804 and 1806

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 1806 the smallest integer that is 1629012 that is divisible by both numbers.

Least Common Multiple (LCM) of 1804 and 1806 is 1629012.

LCM(1804,1806) = 1629012

LCM of 1804 and 1806

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

LCM of:
and

Least Common Multiple of 1804 and 1806

LCM of 1804 and 1806 is 1629012

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1806. First we will calculate the prime factors of 1804 and 1806.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1806.

LCM(1804,1806) = 22×31×71×111×411×431
LCM(1804,1806) = 1629012

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 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

Least Common Multiple of 1804 and 1806 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 1806, than apply into the LCM equation.

GCF(1804,1806) = 2
LCM(1804,1806) = ( 1804 × 1806) / 2
LCM(1804,1806) = 3258024 / 2
LCM(1804,1806) = 1629012

Properties of LCM 1804 and 1806

(i) The LCM of 1806 and 1804 is associative

LCM of 1804 and 1806 = LCM of 1806 and 1804

Related Least Common Multiples of 1804

Related Least Common Multiples of 1806

Frequently Asked Questions on LCM of 1804 and 1806

1. What is the LCM of 1804 and 1806?

Answer: LCM of 1804 and 1806 is 1629012.

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 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.

4. How to Find the LCM of 1804 and 1806?

Answer:

Least Common Multiple of 1804 and 1806 = 1629012

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

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

LCM = 1629012 = 2 x 2 x 3 x 7 x 11 x 41 x 43

Step 4: Therefore, the least common multiple of 1804 and 1806 is 1629012.