Least Common Multiple of 6827 and 6833

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 6833 the smallest integer that is 46648891 that is divisible by both numbers.

Least Common Multiple (LCM) of 6827 and 6833 is 46648891.

LCM(6827,6833) = 46648891

LCM of 6827 and 6833

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

LCM of:
and

Least Common Multiple of 6827 and 6833

LCM of 6827 and 6833 is 46648891

Least common multiple can be found by multiplying the highest exponent prime factors of 6827 and 6833. First we will calculate the prime factors of 6827 and 6833.

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 6833


6833 6833
1

Prime factors of 6833 are 6833. Prime factorization of 6833 in exponential form is:

6833 = 68331

Now multiplying the highest exponent prime factors to calculate the LCM of 6827 and 6833.

LCM(6827,6833) = 68271×68331
LCM(6827,6833) = 46648891

Factors of 6827

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

1, 6827

Factors of 6833

List of positive integer factors of 6833 that divides 6833 without a remainder.

1, 6833

Least Common Multiple of 6827 and 6833 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 6833, than apply into the LCM equation.

GCF(6827,6833) = 1
LCM(6827,6833) = ( 6827 × 6833) / 1
LCM(6827,6833) = 46648891 / 1
LCM(6827,6833) = 46648891

Properties of LCM 6827 and 6833

(i) The LCM of 6833 and 6827 is associative

LCM of 6827 and 6833 = LCM of 6833 and 6827

Related Least Common Multiples of 6827

Related Least Common Multiples of 6833

Frequently Asked Questions on LCM of 6827 and 6833

1. What is the LCM of 6827 and 6833?

Answer: LCM of 6827 and 6833 is 46648891.

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 6833?

Answer: Factors of 6833 are 1, 6833. There are 2 integers that are factors of 6833. The greatest factor of 6833 is 6833.

4. How to Find the LCM of 6827 and 6833?

Answer:

Least Common Multiple of 6827 and 6833 = 46648891

Step 1: Find the prime factorization of 6827

6827 = 6827

Step 2: Find the prime factorization of 6833

6833 = 6833

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

LCM = 46648891 = 6827 x 6833

Step 4: Therefore, the least common multiple of 6827 and 6833 is 46648891.