Least Common Multiple of 1806 and 1812

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 1812 the smallest integer that is 545412 that is divisible by both numbers.

Least Common Multiple (LCM) of 1806 and 1812 is 545412.

LCM(1806,1812) = 545412

LCM of 1806 and 1812

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

LCM of:
and

Least Common Multiple of 1806 and 1812

LCM of 1806 and 1812 is 545412

Least common multiple can be found by multiplying the highest exponent prime factors of 1806 and 1812. First we will calculate the prime factors of 1806 and 1812.

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 1812


2 1812
2 906
3 453
151 151
1

Prime factors of 1812 are 2, 3,151. Prime factorization of 1812 in exponential form is:

1812 = 22×31×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1806 and 1812.

LCM(1806,1812) = 22×31×71×431×1511
LCM(1806,1812) = 545412

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 1812

List of positive integer factors of 1812 that divides 1812 without a remainder.

1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

Least Common Multiple of 1806 and 1812 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 1812, than apply into the LCM equation.

GCF(1806,1812) = 6
LCM(1806,1812) = ( 1806 × 1812) / 6
LCM(1806,1812) = 3272472 / 6
LCM(1806,1812) = 545412

Properties of LCM 1806 and 1812

(i) The LCM of 1812 and 1806 is associative

LCM of 1806 and 1812 = LCM of 1812 and 1806

Related Least Common Multiples of 1806

Related Least Common Multiples of 1812

Frequently Asked Questions on LCM of 1806 and 1812

1. What is the LCM of 1806 and 1812?

Answer: LCM of 1806 and 1812 is 545412.

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 1812?

Answer: Factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812. There are 12 integers that are factors of 1812. The greatest factor of 1812 is 1812.

4. How to Find the LCM of 1806 and 1812?

Answer:

Least Common Multiple of 1806 and 1812 = 545412

Step 1: Find the prime factorization of 1806

1806 = 2 x 3 x 7 x 43

Step 2: Find the prime factorization of 1812

1812 = 2 x 2 x 3 x 151

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

LCM = 545412 = 2 x 2 x 3 x 7 x 43 x 151

Step 4: Therefore, the least common multiple of 1806 and 1812 is 545412.