Least Common Multiple of 5837 and 5842

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 5842 the smallest integer that is 34099754 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5842 is 34099754.

LCM(5837,5842) = 34099754

LCM of 5837 and 5842

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

LCM of:
and

Least Common Multiple of 5837 and 5842

LCM of 5837 and 5842 is 34099754

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5842. First we will calculate the prime factors of 5837 and 5842.

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 5842


2 5842
23 2921
127 127
1

Prime factors of 5842 are 2, 23,127. Prime factorization of 5842 in exponential form is:

5842 = 21×231×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5842.

LCM(5837,5842) = 21×131×231×1271×4491
LCM(5837,5842) = 34099754

Factors of 5837

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

1, 13, 449, 5837

Factors of 5842

List of positive integer factors of 5842 that divides 5842 without a remainder.

1, 2, 23, 46, 127, 254, 2921, 5842

Least Common Multiple of 5837 and 5842 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 5842, than apply into the LCM equation.

GCF(5837,5842) = 1
LCM(5837,5842) = ( 5837 × 5842) / 1
LCM(5837,5842) = 34099754 / 1
LCM(5837,5842) = 34099754

Properties of LCM 5837 and 5842

(i) The LCM of 5842 and 5837 is associative

LCM of 5837 and 5842 = LCM of 5842 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5842

Frequently Asked Questions on LCM of 5837 and 5842

1. What is the LCM of 5837 and 5842?

Answer: LCM of 5837 and 5842 is 34099754.

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 5842?

Answer: Factors of 5842 are 1, 2, 23, 46, 127, 254, 2921, 5842. There are 8 integers that are factors of 5842. The greatest factor of 5842 is 5842.

4. How to Find the LCM of 5837 and 5842?

Answer:

Least Common Multiple of 5837 and 5842 = 34099754

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5842

5842 = 2 x 23 x 127

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

LCM = 34099754 = 2 x 13 x 23 x 127 x 449

Step 4: Therefore, the least common multiple of 5837 and 5842 is 34099754.