Least Common Multiple of 5832 and 5837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5832 and 5837 the smallest integer that is 34041384 that is divisible by both numbers.

Least Common Multiple (LCM) of 5832 and 5837 is 34041384.

LCM(5832,5837) = 34041384

LCM of 5832 and 5837

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

LCM of:
and

Least Common Multiple of 5832 and 5837

LCM of 5832 and 5837 is 34041384

Least common multiple can be found by multiplying the highest exponent prime factors of 5832 and 5837. First we will calculate the prime factors of 5832 and 5837.

Prime Factorization of 5832


2 5832
2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 5832 are 2,3. Prime factorization of 5832 in exponential form is:

5832 = 23×36

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5832 and 5837.

LCM(5832,5837) = 23×36×131×4491
LCM(5832,5837) = 34041384

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832

Factors of 5837

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

1, 13, 449, 5837

Least Common Multiple of 5832 and 5837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5832 and 5837, than apply into the LCM equation.

GCF(5832,5837) = 1
LCM(5832,5837) = ( 5832 × 5837) / 1
LCM(5832,5837) = 34041384 / 1
LCM(5832,5837) = 34041384

Properties of LCM 5832 and 5837

(i) The LCM of 5837 and 5832 is associative

LCM of 5832 and 5837 = LCM of 5837 and 5832

Related Least Common Multiples of 5832

Related Least Common Multiples of 5837

Frequently Asked Questions on LCM of 5832 and 5837

1. What is the LCM of 5832 and 5837?

Answer: LCM of 5832 and 5837 is 34041384.

2. What are the Factors of 5832?

Answer: Factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832. There are 28 integers that are factors of 5832. The greatest factor of 5832 is 5832.

3. 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.

4. How to Find the LCM of 5832 and 5837?

Answer:

Least Common Multiple of 5832 and 5837 = 34041384

Step 1: Find the prime factorization of 5832

5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 5837

5837 = 13 x 449

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

LCM = 34041384 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 13 x 449

Step 4: Therefore, the least common multiple of 5832 and 5837 is 34041384.