Least Common Multiple of 1806 and 1814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1806 and 1814 the smallest integer that is 1638042 that is divisible by both numbers.

Least Common Multiple (LCM) of 1806 and 1814 is 1638042.

LCM(1806,1814) = 1638042

LCM of 1806 and 1814

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

LCM of:
and

Least Common Multiple of 1806 and 1814

LCM of 1806 and 1814 is 1638042

Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1814. First we will calculate the prime factors of 1806 and 1814.

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

Prime Factorization of 1814


2 1814
907 907
1

Prime factors of 1814 are 2,907. Prime factorization of 1814 in exponential form is:

1814 = 21×9071

Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1814.

LCM(1806,1814) = 21×31×71×431×9071
LCM(1806,1814) = 1638042

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

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1, 2, 907, 1814

Least Common Multiple of 1806 and 1814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1806 and 1814, than apply into the LCM equation.

GCF(1806,1814) = 2
LCM(1806,1814) = ( 1806 × 1814) / 2
LCM(1806,1814) = 3276084 / 2
LCM(1806,1814) = 1638042

Properties of LCM 1806 and 1814

(i) The LCM of 1814 and 1806 is associative

LCM of 1806 and 1814 = LCM of 1814 and 1806

Related Least Common Multiples of 1806

Related Least Common Multiples of 1814

Frequently Asked Questions on LCM of 1806 and 1814

1. What is the LCM of 1806 and 1814?

Answer: LCM of 1806 and 1814 is 1638042.

2. 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.

3. What are the Factors of 1814?

Answer: Factors of 1814 are 1, 2, 907, 1814. There are 4 integers that are factors of 1814. The greatest factor of 1814 is 1814.

4. How to Find the LCM of 1806 and 1814?

Answer:

Least Common Multiple of 1806 and 1814 = 1638042

Step 1: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 1814

1814 = 2 x 907

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

LCM = 1638042 = 2 x 3 x 7 x 43 x 907

Step 4: Therefore, the least common multiple of 1806 and 1814 is 1638042.