Least Common Multiple of 1803 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 1803 and 1806 the smallest integer that is 1085406 that is divisible by both numbers.

Least Common Multiple (LCM) of 1803 and 1806 is 1085406.

LCM(1803,1806) = 1085406

LCM of 1803 and 1806

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

LCM of:
and

Least Common Multiple of 1803 and 1806

LCM of 1803 and 1806 is 1085406

Least common multiple can be found by multiplying the highest exponent prime factors of 1803 and 1806. First we will calculate the prime factors of 1803 and 1806.

Prime Factorization of 1803


3 1803
601 601
1

Prime factors of 1803 are 3,601. Prime factorization of 1803 in exponential form is:

1803 = 31×6011

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 1803 and 1806.

LCM(1803,1806) = 21×31×71×431×6011
LCM(1803,1806) = 1085406

Factors of 1803

List of positive integer factors of 1803 that divides 1803 without a remainder.

1, 3, 601, 1803

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 1803 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 1803 and 1806, than apply into the LCM equation.

GCF(1803,1806) = 3
LCM(1803,1806) = ( 1803 × 1806) / 3
LCM(1803,1806) = 3256218 / 3
LCM(1803,1806) = 1085406

Properties of LCM 1803 and 1806

(i) The LCM of 1806 and 1803 is associative

LCM of 1803 and 1806 = LCM of 1806 and 1803

Related Least Common Multiples of 1803

Related Least Common Multiples of 1806

Frequently Asked Questions on LCM of 1803 and 1806

1. What is the LCM of 1803 and 1806?

Answer: LCM of 1803 and 1806 is 1085406.

2. What are the Factors of 1803?

Answer: Factors of 1803 are 1, 3, 601, 1803. There are 4 integers that are factors of 1803. The greatest factor of 1803 is 1803.

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 1803 and 1806?

Answer:

Least Common Multiple of 1803 and 1806 = 1085406

Step 1: Find the prime factorization of 1803

1803 = 3 x 601

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 = 1085406 = 2 x 3 x 7 x 43 x 601

Step 4: Therefore, the least common multiple of 1803 and 1806 is 1085406.