Least Common Multiple of 1801 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 1801 and 1806 the smallest integer that is 3252606 that is divisible by both numbers.

Least Common Multiple (LCM) of 1801 and 1806 is 3252606.

LCM(1801,1806) = 3252606

LCM of 1801 and 1806

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

LCM of:
and

Least Common Multiple of 1801 and 1806

LCM of 1801 and 1806 is 3252606

Least common multiple can be found by multiplying the highest exponent prime factors of 1801 and 1806. First we will calculate the prime factors of 1801 and 1806.

Prime Factorization of 1801


1801 1801
1

Prime factors of 1801 are 1801. Prime factorization of 1801 in exponential form is:

1801 = 18011

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 1801 and 1806.

LCM(1801,1806) = 21×31×71×431×18011
LCM(1801,1806) = 3252606

Factors of 1801

List of positive integer factors of 1801 that divides 1801 without a remainder.

1, 1801

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 1801 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 1801 and 1806, than apply into the LCM equation.

GCF(1801,1806) = 1
LCM(1801,1806) = ( 1801 × 1806) / 1
LCM(1801,1806) = 3252606 / 1
LCM(1801,1806) = 3252606

Properties of LCM 1801 and 1806

(i) The LCM of 1806 and 1801 is associative

LCM of 1801 and 1806 = LCM of 1806 and 1801

Related Least Common Multiples of 1801

Related Least Common Multiples of 1806

Frequently Asked Questions on LCM of 1801 and 1806

1. What is the LCM of 1801 and 1806?

Answer: LCM of 1801 and 1806 is 3252606.

2. What are the Factors of 1801?

Answer: Factors of 1801 are 1, 1801. There are 2 integers that are factors of 1801. The greatest factor of 1801 is 1801.

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 1801 and 1806?

Answer:

Least Common Multiple of 1801 and 1806 = 3252606

Step 1: Find the prime factorization of 1801

1801 = 1801

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 = 3252606 = 2 x 3 x 7 x 43 x 1801

Step 4: Therefore, the least common multiple of 1801 and 1806 is 3252606.