Least Common Multiple of 1805 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 1805 and 1806 the smallest integer that is 3259830 that is divisible by both numbers.

Least Common Multiple (LCM) of 1805 and 1806 is 3259830.

LCM(1805,1806) = 3259830

LCM of 1805 and 1806

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

LCM of:
and

Least Common Multiple of 1805 and 1806

LCM of 1805 and 1806 is 3259830

Least common multiple can be found by multiplying the highest exponent prime factors of 1805 and 1806. First we will calculate the prime factors of 1805 and 1806.

Prime Factorization of 1805


5 1805
19 361
19 19
1

Prime factors of 1805 are 5,19. Prime factorization of 1805 in exponential form is:

1805 = 51×192

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 1805 and 1806.

LCM(1805,1806) = 21×31×51×71×192×431
LCM(1805,1806) = 3259830

Factors of 1805

List of positive integer factors of 1805 that divides 1805 without a remainder.

1, 5, 19, 95, 361, 1805

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 1805 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 1805 and 1806, than apply into the LCM equation.

GCF(1805,1806) = 1
LCM(1805,1806) = ( 1805 × 1806) / 1
LCM(1805,1806) = 3259830 / 1
LCM(1805,1806) = 3259830

Properties of LCM 1805 and 1806

(i) The LCM of 1806 and 1805 is associative

LCM of 1805 and 1806 = LCM of 1806 and 1805

Related Least Common Multiples of 1805

Related Least Common Multiples of 1806

Frequently Asked Questions on LCM of 1805 and 1806

1. What is the LCM of 1805 and 1806?

Answer: LCM of 1805 and 1806 is 3259830.

2. What are the Factors of 1805?

Answer: Factors of 1805 are 1, 5, 19, 95, 361, 1805. There are 6 integers that are factors of 1805. The greatest factor of 1805 is 1805.

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 1805 and 1806?

Answer:

Least Common Multiple of 1805 and 1806 = 3259830

Step 1: Find the prime factorization of 1805

1805 = 5 x 19 x 19

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 = 3259830 = 2 x 3 x 5 x 7 x 19 x 19 x 43

Step 4: Therefore, the least common multiple of 1805 and 1806 is 3259830.