Least Common Multiple of 5838 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 5838 and 5844 the smallest integer that is 5686212 that is divisible by both numbers.

Least Common Multiple (LCM) of 5838 and 5844 is 5686212.

LCM(5838,5844) = 5686212

LCM of 5838 and 5844

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

LCM of:
and

Least Common Multiple of 5838 and 5844

LCM of 5838 and 5844 is 5686212

Least common multiple can be found by multiplying the highest exponent prime factors of 5838 and 5844. First we will calculate the prime factors of 5838 and 5844.

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

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 5838 and 5844.

LCM(5838,5844) = 22×31×71×1391×4871
LCM(5838,5844) = 5686212

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

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 5838 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 5838 and 5844, than apply into the LCM equation.

GCF(5838,5844) = 6
LCM(5838,5844) = ( 5838 × 5844) / 6
LCM(5838,5844) = 34117272 / 6
LCM(5838,5844) = 5686212

Properties of LCM 5838 and 5844

(i) The LCM of 5844 and 5838 is associative

LCM of 5838 and 5844 = LCM of 5844 and 5838

Related Least Common Multiples of 5838

Related Least Common Multiples of 5844

Frequently Asked Questions on LCM of 5838 and 5844

1. What is the LCM of 5838 and 5844?

Answer: LCM of 5838 and 5844 is 5686212.

2. 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.

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 5838 and 5844?

Answer:

Least Common Multiple of 5838 and 5844 = 5686212

Step 1: Find the prime factorization of 5838

5838 = 2 x 3 x 7 x 139

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 = 5686212 = 2 x 2 x 3 x 7 x 139 x 487

Step 4: Therefore, the least common multiple of 5838 and 5844 is 5686212.