Least Common Multiple of 6827 and 6832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6827 and 6832 the smallest integer that is 46642064 that is divisible by both numbers.

Least Common Multiple (LCM) of 6827 and 6832 is 46642064.

LCM(6827,6832) = 46642064

LCM of 6827 and 6832

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

LCM of:
and

Least Common Multiple of 6827 and 6832

LCM of 6827 and 6832 is 46642064

Least common multiple can be found by multiplying the highest exponent prime factors of 6827 and 6832. First we will calculate the prime factors of 6827 and 6832.

Prime Factorization of 6827


6827 6827
1

Prime factors of 6827 are 6827. Prime factorization of 6827 in exponential form is:

6827 = 68271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6827 and 6832.

LCM(6827,6832) = 24×71×611×68271
LCM(6827,6832) = 46642064

Factors of 6827

List of positive integer factors of 6827 that divides 6827 without a remainder.

1, 6827

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

Least Common Multiple of 6827 and 6832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6827 and 6832, than apply into the LCM equation.

GCF(6827,6832) = 1
LCM(6827,6832) = ( 6827 × 6832) / 1
LCM(6827,6832) = 46642064 / 1
LCM(6827,6832) = 46642064

Properties of LCM 6827 and 6832

(i) The LCM of 6832 and 6827 is associative

LCM of 6827 and 6832 = LCM of 6832 and 6827

Related Least Common Multiples of 6827

Related Least Common Multiples of 6832

Frequently Asked Questions on LCM of 6827 and 6832

1. What is the LCM of 6827 and 6832?

Answer: LCM of 6827 and 6832 is 46642064.

2. What are the Factors of 6827?

Answer: Factors of 6827 are 1, 6827. There are 2 integers that are factors of 6827. The greatest factor of 6827 is 6827.

3. 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.

4. How to Find the LCM of 6827 and 6832?

Answer:

Least Common Multiple of 6827 and 6832 = 46642064

Step 1: Find the prime factorization of 6827

6827 = 6827

Step 2: Find the prime factorization of 6832

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

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

LCM = 46642064 = 2 x 2 x 2 x 2 x 7 x 61 x 6827

Step 4: Therefore, the least common multiple of 6827 and 6832 is 46642064.