Least Common Multiple of 1833 and 1836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1833 and 1836 the smallest integer that is 1121796 that is divisible by both numbers.

Least Common Multiple (LCM) of 1833 and 1836 is 1121796.

LCM(1833,1836) = 1121796

LCM of 1833 and 1836

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

LCM of:
and

Least Common Multiple of 1833 and 1836

LCM of 1833 and 1836 is 1121796

Least common multiple can be found by multiplying the highest exponent prime factors of 1833 and 1836. First we will calculate the prime factors of 1833 and 1836.

Prime Factorization of 1833


3 1833
13 611
47 47
1

Prime factors of 1833 are 3, 13,47. Prime factorization of 1833 in exponential form is:

1833 = 31×131×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1833 and 1836.

LCM(1833,1836) = 22×33×131×171×471
LCM(1833,1836) = 1121796

Factors of 1833

List of positive integer factors of 1833 that divides 1833 without a remainder.

1, 3, 13, 39, 47, 141, 611, 1833

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

Least Common Multiple of 1833 and 1836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1833 and 1836, than apply into the LCM equation.

GCF(1833,1836) = 3
LCM(1833,1836) = ( 1833 × 1836) / 3
LCM(1833,1836) = 3365388 / 3
LCM(1833,1836) = 1121796

Properties of LCM 1833 and 1836

(i) The LCM of 1836 and 1833 is associative

LCM of 1833 and 1836 = LCM of 1836 and 1833

Related Least Common Multiples of 1833

Related Least Common Multiples of 1836

Frequently Asked Questions on LCM of 1833 and 1836

1. What is the LCM of 1833 and 1836?

Answer: LCM of 1833 and 1836 is 1121796.

2. What are the Factors of 1833?

Answer: Factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833. There are 8 integers that are factors of 1833. The greatest factor of 1833 is 1833.

3. 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.

4. How to Find the LCM of 1833 and 1836?

Answer:

Least Common Multiple of 1833 and 1836 = 1121796

Step 1: Find the prime factorization of 1833

1833 = 3 x 13 x 47

Step 2: Find the prime factorization of 1836

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

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

LCM = 1121796 = 2 x 2 x 3 x 3 x 3 x 13 x 17 x 47

Step 4: Therefore, the least common multiple of 1833 and 1836 is 1121796.