Least Common Multiple of 5837 and 5845

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 5845 the smallest integer that is 34117265 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5845 is 34117265.

LCM(5837,5845) = 34117265

LCM of 5837 and 5845

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

LCM of:
and

Least Common Multiple of 5837 and 5845

LCM of 5837 and 5845 is 34117265

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5845. First we will calculate the prime factors of 5837 and 5845.

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 5845


5 5845
7 1169
167 167
1

Prime factors of 5845 are 5, 7,167. Prime factorization of 5845 in exponential form is:

5845 = 51×71×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5845.

LCM(5837,5845) = 51×71×131×1671×4491
LCM(5837,5845) = 34117265

Factors of 5837

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

1, 13, 449, 5837

Factors of 5845

List of positive integer factors of 5845 that divides 5845 without a remainder.

1, 5, 7, 35, 167, 835, 1169, 5845

Least Common Multiple of 5837 and 5845 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 5845, than apply into the LCM equation.

GCF(5837,5845) = 1
LCM(5837,5845) = ( 5837 × 5845) / 1
LCM(5837,5845) = 34117265 / 1
LCM(5837,5845) = 34117265

Properties of LCM 5837 and 5845

(i) The LCM of 5845 and 5837 is associative

LCM of 5837 and 5845 = LCM of 5845 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5845

Frequently Asked Questions on LCM of 5837 and 5845

1. What is the LCM of 5837 and 5845?

Answer: LCM of 5837 and 5845 is 34117265.

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 5845?

Answer: Factors of 5845 are 1, 5, 7, 35, 167, 835, 1169, 5845. There are 8 integers that are factors of 5845. The greatest factor of 5845 is 5845.

4. How to Find the LCM of 5837 and 5845?

Answer:

Least Common Multiple of 5837 and 5845 = 34117265

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5845

5845 = 5 x 7 x 167

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

LCM = 34117265 = 5 x 7 x 13 x 167 x 449

Step 4: Therefore, the least common multiple of 5837 and 5845 is 34117265.