Least Common Multiple of 5837 and 5840

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 5840 the smallest integer that is 34088080 that is divisible by both numbers.

Least Common Multiple (LCM) of 5837 and 5840 is 34088080.

LCM(5837,5840) = 34088080

LCM of 5837 and 5840

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

LCM of:
and

Least Common Multiple of 5837 and 5840

LCM of 5837 and 5840 is 34088080

Least common multiple can be found by multiplying the highest exponent prime factors of 5837 and 5840. First we will calculate the prime factors of 5837 and 5840.

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 5840


2 5840
2 2920
2 1460
2 730
5 365
73 73
1

Prime factors of 5840 are 2, 5,73. Prime factorization of 5840 in exponential form is:

5840 = 24×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5837 and 5840.

LCM(5837,5840) = 24×51×131×731×4491
LCM(5837,5840) = 34088080

Factors of 5837

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

1, 13, 449, 5837

Factors of 5840

List of positive integer factors of 5840 that divides 5840 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840

Least Common Multiple of 5837 and 5840 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 5840, than apply into the LCM equation.

GCF(5837,5840) = 1
LCM(5837,5840) = ( 5837 × 5840) / 1
LCM(5837,5840) = 34088080 / 1
LCM(5837,5840) = 34088080

Properties of LCM 5837 and 5840

(i) The LCM of 5840 and 5837 is associative

LCM of 5837 and 5840 = LCM of 5840 and 5837

Related Least Common Multiples of 5837

Related Least Common Multiples of 5840

Frequently Asked Questions on LCM of 5837 and 5840

1. What is the LCM of 5837 and 5840?

Answer: LCM of 5837 and 5840 is 34088080.

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 5840?

Answer: Factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840. There are 20 integers that are factors of 5840. The greatest factor of 5840 is 5840.

4. How to Find the LCM of 5837 and 5840?

Answer:

Least Common Multiple of 5837 and 5840 = 34088080

Step 1: Find the prime factorization of 5837

5837 = 13 x 449

Step 2: Find the prime factorization of 5840

5840 = 2 x 2 x 2 x 2 x 5 x 73

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

LCM = 34088080 = 2 x 2 x 2 x 2 x 5 x 13 x 73 x 449

Step 4: Therefore, the least common multiple of 5837 and 5840 is 34088080.