Least Common Multiple of 5839 and 5844

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5839 and 5844 the smallest integer that is 34123116 that is divisible by both numbers.

Least Common Multiple (LCM) of 5839 and 5844 is 34123116.

LCM(5839,5844) = 34123116

LCM of 5839 and 5844

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

LCM of:
and

Least Common Multiple of 5839 and 5844

LCM of 5839 and 5844 is 34123116

Least common multiple can be found by multiplying the highest exponent prime factors of 5839 and 5844. First we will calculate the prime factors of 5839 and 5844.

Prime Factorization of 5839


5839 5839
1

Prime factors of 5839 are 5839. Prime factorization of 5839 in exponential form is:

5839 = 58391

Prime Factorization of 5844


2 5844
2 2922
3 1461
487 487
1

Prime factors of 5844 are 2, 3,487. Prime factorization of 5844 in exponential form is:

5844 = 22×31×4871

Now multiplying the highest exponent prime factors to calculate the LCM of 5839 and 5844.

LCM(5839,5844) = 22×31×4871×58391
LCM(5839,5844) = 34123116

Factors of 5839

List of positive integer factors of 5839 that divides 5839 without a remainder.

1, 5839

Factors of 5844

List of positive integer factors of 5844 that divides 5844 without a remainder.

1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844

Least Common Multiple of 5839 and 5844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5839 and 5844, than apply into the LCM equation.

GCF(5839,5844) = 1
LCM(5839,5844) = ( 5839 × 5844) / 1
LCM(5839,5844) = 34123116 / 1
LCM(5839,5844) = 34123116

Properties of LCM 5839 and 5844

(i) The LCM of 5844 and 5839 is associative

LCM of 5839 and 5844 = LCM of 5844 and 5839

Related Least Common Multiples of 5839

Related Least Common Multiples of 5844

Frequently Asked Questions on LCM of 5839 and 5844

1. What is the LCM of 5839 and 5844?

Answer: LCM of 5839 and 5844 is 34123116.

2. What are the Factors of 5839?

Answer: Factors of 5839 are 1, 5839. There are 2 integers that are factors of 5839. The greatest factor of 5839 is 5839.

3. What are the Factors of 5844?

Answer: Factors of 5844 are 1, 2, 3, 4, 6, 12, 487, 974, 1461, 1948, 2922, 5844. There are 12 integers that are factors of 5844. The greatest factor of 5844 is 5844.

4. How to Find the LCM of 5839 and 5844?

Answer:

Least Common Multiple of 5839 and 5844 = 34123116

Step 1: Find the prime factorization of 5839

5839 = 5839

Step 2: Find the prime factorization of 5844

5844 = 2 x 2 x 3 x 487

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

LCM = 34123116 = 2 x 2 x 3 x 487 x 5839

Step 4: Therefore, the least common multiple of 5839 and 5844 is 34123116.