Least Common Multiple of 5837 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 5837 and 5838 the smallest integer that is 34076406 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5838 is 34076406.

LCM(5837,5838) = 34076406

LCM of 5837 and 5838

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

LCM of:
and

Least Common Multiple of 5837 and 5838

LCM of 5837 and 5838 is 34076406

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5838. First we will calculate the prime factors of 5837 and 5838.

Prime Factorization of 5837


13 5837
449 449
1

Prime factors of 5837 are 13,449. Prime factorization of 5837 in exponential form is:

5837 = 131×4491

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 5837 and 5838.

LCM(5837,5838) = 21×31×71×131×1391×4491
LCM(5837,5838) = 34076406

Factors of 5837

List of positive integer factors of 5837 that divides 5837 without a remainder.

1, 13, 449, 5837

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 5837 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 5837 and 5838, than apply into the LCM equation.

GCF(5837,5838) = 1
LCM(5837,5838) = ( 5837 × 5838) / 1
LCM(5837,5838) = 34076406 / 1
LCM(5837,5838) = 34076406

Properties of LCM 5837 and 5838

(i) The LCM of 5838 and 5837 is associative

LCM of 5837 and 5838 = LCM of 5838 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5838

Frequently Asked Questions on LCM of 5837 and 5838

1. What is the LCM of 5837 and 5838?

Answer: LCM of 5837 and 5838 is 34076406.

2. What are the Factors of 5837?

Answer: Factors of 5837 are 1, 13, 449, 5837. There are 4 integers that are factors of 5837. The greatest factor of 5837 is 5837.

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 5837 and 5838?

Answer:

Least Common Multiple of 5837 and 5838 = 34076406

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

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 = 34076406 = 2 x 3 x 7 x 13 x 139 x 449

Step 4: Therefore, the least common multiple of 5837 and 5838 is 34076406.