Least Common Multiple of 1836 and 1844

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 1844 the smallest integer that is 846396 that is divisible by both numbers.

Least Common Multiple (LCM) of 1836 and 1844 is 846396.

LCM(1836,1844) = 846396

LCM of 1836 and 1844

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

LCM of:
and

Least Common Multiple of 1836 and 1844

LCM of 1836 and 1844 is 846396

Least common multiple can be found by multiplying the highest exponent prime factors of 1836 and 1844. First we will calculate the prime factors of 1836 and 1844.

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 1844


2 1844
2 922
461 461
1

Prime factors of 1844 are 2,461. Prime factorization of 1844 in exponential form is:

1844 = 22×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 1836 and 1844.

LCM(1836,1844) = 22×33×171×4611
LCM(1836,1844) = 846396

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 1844

List of positive integer factors of 1844 that divides 1844 without a remainder.

1, 2, 4, 461, 922, 1844

Least Common Multiple of 1836 and 1844 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 1844, than apply into the LCM equation.

GCF(1836,1844) = 4
LCM(1836,1844) = ( 1836 × 1844) / 4
LCM(1836,1844) = 3385584 / 4
LCM(1836,1844) = 846396

Properties of LCM 1836 and 1844

(i) The LCM of 1844 and 1836 is associative

LCM of 1836 and 1844 = LCM of 1844 and 1836

Related Least Common Multiples of 1836

Related Least Common Multiples of 1844

Frequently Asked Questions on LCM of 1836 and 1844

1. What is the LCM of 1836 and 1844?

Answer: LCM of 1836 and 1844 is 846396.

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 1844?

Answer: Factors of 1844 are 1, 2, 4, 461, 922, 1844. There are 6 integers that are factors of 1844. The greatest factor of 1844 is 1844.

4. How to Find the LCM of 1836 and 1844?

Answer:

Least Common Multiple of 1836 and 1844 = 846396

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 1844

1844 = 2 x 2 x 461

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

LCM = 846396 = 2 x 2 x 3 x 3 x 3 x 17 x 461

Step 4: Therefore, the least common multiple of 1836 and 1844 is 846396.