Least Common Multiple of 1836 and 1843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1836 and 1843 the smallest integer that is 3383748 that is divisible by both numbers.

Least Common Multiple (LCM) of 1836 and 1843 is 3383748.

LCM(1836,1843) = 3383748

LCM of 1836 and 1843

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

LCM of:
and

Least Common Multiple of 1836 and 1843

LCM of 1836 and 1843 is 3383748

Least common multiple can be found by multiplying the highest exponent prime factors of 1836 and 1843. First we will calculate the prime factors of 1836 and 1843.

Prime Factorization of 1836


2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 1836 are 2, 3,17. Prime factorization of 1836 in exponential form is:

1836 = 22×33×171

Prime Factorization of 1843


19 1843
97 97
1

Prime factors of 1843 are 19,97. Prime factorization of 1843 in exponential form is:

1843 = 191×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1836 and 1843.

LCM(1836,1843) = 22×33×171×191×971
LCM(1836,1843) = 3383748

Factors of 1836

List of positive integer factors of 1836 that divides 1836 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836

Factors of 1843

List of positive integer factors of 1843 that divides 1843 without a remainder.

1, 19, 97, 1843

Least Common Multiple of 1836 and 1843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1836 and 1843, than apply into the LCM equation.

GCF(1836,1843) = 1
LCM(1836,1843) = ( 1836 × 1843) / 1
LCM(1836,1843) = 3383748 / 1
LCM(1836,1843) = 3383748

Properties of LCM 1836 and 1843

(i) The LCM of 1843 and 1836 is associative

LCM of 1836 and 1843 = LCM of 1843 and 1836

Related Least Common Multiples of 1836

Related Least Common Multiples of 1843

Frequently Asked Questions on LCM of 1836 and 1843

1. What is the LCM of 1836 and 1843?

Answer: LCM of 1836 and 1843 is 3383748.

2. What are the Factors of 1836?

Answer: Factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836. There are 24 integers that are factors of 1836. The greatest factor of 1836 is 1836.

3. What are the Factors of 1843?

Answer: Factors of 1843 are 1, 19, 97, 1843. There are 4 integers that are factors of 1843. The greatest factor of 1843 is 1843.

4. How to Find the LCM of 1836 and 1843?

Answer:

Least Common Multiple of 1836 and 1843 = 3383748

Step 1: Find the prime factorization of 1836

1836 = 2 x 2 x 3 x 3 x 3 x 17

Step 2: Find the prime factorization of 1843

1843 = 19 x 97

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

LCM = 3383748 = 2 x 2 x 3 x 3 x 3 x 17 x 19 x 97

Step 4: Therefore, the least common multiple of 1836 and 1843 is 3383748.