Least Common Multiple of 5836 and 5838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5836 and 5838 the smallest integer that is 17035284 that is divisible by both numbers.

Least Common Multiple (LCM) of 5836 and 5838 is 17035284.

LCM(5836,5838) = 17035284

LCM of 5836 and 5838

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

LCM of:
and

Least Common Multiple of 5836 and 5838

LCM of 5836 and 5838 is 17035284

Least common multiple can be found by multiplying the highest exponent prime factors of 5836 and 5838. First we will calculate the prime factors of 5836 and 5838.

Prime Factorization of 5836


2 5836
2 2918
1459 1459
1

Prime factors of 5836 are 2,1459. Prime factorization of 5836 in exponential form is:

5836 = 22×14591

Prime Factorization of 5838


2 5838
3 2919
7 973
139 139
1

Prime factors of 5838 are 2, 3, 7,139. Prime factorization of 5838 in exponential form is:

5838 = 21×31×71×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5836 and 5838.

LCM(5836,5838) = 22×31×71×1391×14591
LCM(5836,5838) = 17035284

Factors of 5836

List of positive integer factors of 5836 that divides 5836 without a remainder.

1, 2, 4, 1459, 2918, 5836

Factors of 5838

List of positive integer factors of 5838 that divides 5838 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838

Least Common Multiple of 5836 and 5838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5836 and 5838, than apply into the LCM equation.

GCF(5836,5838) = 2
LCM(5836,5838) = ( 5836 × 5838) / 2
LCM(5836,5838) = 34070568 / 2
LCM(5836,5838) = 17035284

Properties of LCM 5836 and 5838

(i) The LCM of 5838 and 5836 is associative

LCM of 5836 and 5838 = LCM of 5838 and 5836

Related Least Common Multiples of 5836

Related Least Common Multiples of 5838

Frequently Asked Questions on LCM of 5836 and 5838

1. What is the LCM of 5836 and 5838?

Answer: LCM of 5836 and 5838 is 17035284.

2. What are the Factors of 5836?

Answer: Factors of 5836 are 1, 2, 4, 1459, 2918, 5836. There are 6 integers that are factors of 5836. The greatest factor of 5836 is 5836.

3. What are the Factors of 5838?

Answer: Factors of 5838 are 1, 2, 3, 6, 7, 14, 21, 42, 139, 278, 417, 834, 973, 1946, 2919, 5838. There are 16 integers that are factors of 5838. The greatest factor of 5838 is 5838.

4. How to Find the LCM of 5836 and 5838?

Answer:

Least Common Multiple of 5836 and 5838 = 17035284

Step 1: Find the prime factorization of 5836

5836 = 2 x 2 x 1459

Step 2: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

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

LCM = 17035284 = 2 x 2 x 3 x 7 x 139 x 1459

Step 4: Therefore, the least common multiple of 5836 and 5838 is 17035284.