Least Common Multiple of 1804 and 1810

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 1810 the smallest integer that is 1632620 that is divisible by both numbers.

Least Common Multiple (LCM) of 1804 and 1810 is 1632620.

LCM(1804,1810) = 1632620

LCM of 1804 and 1810

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

LCM of:
and

Least Common Multiple of 1804 and 1810

LCM of 1804 and 1810 is 1632620

Least common multiple can be found by multiplying the highest exponent prime factors of 1804 and 1810. First we will calculate the prime factors of 1804 and 1810.

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 1810


2 1810
5 905
181 181
1

Prime factors of 1810 are 2, 5,181. Prime factorization of 1810 in exponential form is:

1810 = 21×51×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 1804 and 1810.

LCM(1804,1810) = 22×51×111×411×1811
LCM(1804,1810) = 1632620

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 1810

List of positive integer factors of 1810 that divides 1810 without a remainder.

1, 2, 5, 10, 181, 362, 905, 1810

Least Common Multiple of 1804 and 1810 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 1810, than apply into the LCM equation.

GCF(1804,1810) = 2
LCM(1804,1810) = ( 1804 × 1810) / 2
LCM(1804,1810) = 3265240 / 2
LCM(1804,1810) = 1632620

Properties of LCM 1804 and 1810

(i) The LCM of 1810 and 1804 is associative

LCM of 1804 and 1810 = LCM of 1810 and 1804

Related Least Common Multiples of 1804

Related Least Common Multiples of 1810

Frequently Asked Questions on LCM of 1804 and 1810

1. What is the LCM of 1804 and 1810?

Answer: LCM of 1804 and 1810 is 1632620.

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 1810?

Answer: Factors of 1810 are 1, 2, 5, 10, 181, 362, 905, 1810. There are 8 integers that are factors of 1810. The greatest factor of 1810 is 1810.

4. How to Find the LCM of 1804 and 1810?

Answer:

Least Common Multiple of 1804 and 1810 = 1632620

Step 1: Find the prime factorization of 1804

1804 = 2 x 2 x 11 x 41

Step 2: Find the prime factorization of 1810

1810 = 2 x 5 x 181

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

LCM = 1632620 = 2 x 2 x 5 x 11 x 41 x 181

Step 4: Therefore, the least common multiple of 1804 and 1810 is 1632620.