Least Common Multiple of 6832 and 6837

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6832 and 6837 the smallest integer that is 46710384 that is divisible by both numbers.

Least Common Multiple (LCM) of 6832 and 6837 is 46710384.

LCM(6832,6837) = 46710384

LCM of 6832 and 6837

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

LCM of:
and

Least Common Multiple of 6832 and 6837

LCM of 6832 and 6837 is 46710384

Least common multiple can be found by multiplying the highest exponent prime factors of 6832 and 6837. First we will calculate the prime factors of 6832 and 6837.

Prime Factorization of 6832


2 6832
2 3416
2 1708
2 854
7 427
61 61
1

Prime factors of 6832 are 2, 7,61. Prime factorization of 6832 in exponential form is:

6832 = 24×71×611

Prime Factorization of 6837


3 6837
43 2279
53 53
1

Prime factors of 6837 are 3, 43,53. Prime factorization of 6837 in exponential form is:

6837 = 31×431×531

Now multiplying the highest exponent prime factors to calculate the LCM of 6832 and 6837.

LCM(6832,6837) = 24×31×71×431×531×611
LCM(6832,6837) = 46710384

Factors of 6832

List of positive integer factors of 6832 that divides 6832 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832

Factors of 6837

List of positive integer factors of 6837 that divides 6837 without a remainder.

1, 3, 43, 53, 129, 159, 2279, 6837

Least Common Multiple of 6832 and 6837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6832 and 6837, than apply into the LCM equation.

GCF(6832,6837) = 1
LCM(6832,6837) = ( 6832 × 6837) / 1
LCM(6832,6837) = 46710384 / 1
LCM(6832,6837) = 46710384

Properties of LCM 6832 and 6837

(i) The LCM of 6837 and 6832 is associative

LCM of 6832 and 6837 = LCM of 6837 and 6832

Related Least Common Multiples of 6832

Related Least Common Multiples of 6837

Frequently Asked Questions on LCM of 6832 and 6837

1. What is the LCM of 6832 and 6837?

Answer: LCM of 6832 and 6837 is 46710384.

2. What are the Factors of 6832?

Answer: Factors of 6832 are 1, 2, 4, 7, 8, 14, 16, 28, 56, 61, 112, 122, 244, 427, 488, 854, 976, 1708, 3416, 6832. There are 20 integers that are factors of 6832. The greatest factor of 6832 is 6832.

3. What are the Factors of 6837?

Answer: Factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837. There are 8 integers that are factors of 6837. The greatest factor of 6837 is 6837.

4. How to Find the LCM of 6832 and 6837?

Answer:

Least Common Multiple of 6832 and 6837 = 46710384

Step 1: Find the prime factorization of 6832

6832 = 2 x 2 x 2 x 2 x 7 x 61

Step 2: Find the prime factorization of 6837

6837 = 3 x 43 x 53

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

LCM = 46710384 = 2 x 2 x 2 x 2 x 3 x 7 x 43 x 53 x 61

Step 4: Therefore, the least common multiple of 6832 and 6837 is 46710384.