Least Common Multiple of 6835 and 6839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6835 and 6839 the smallest integer that is 46744565 that is divisible by both numbers.

Least Common Multiple (LCM) of 6835 and 6839 is 46744565.

LCM(6835,6839) = 46744565

LCM of 6835 and 6839

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

LCM of:
and

Least Common Multiple of 6835 and 6839

LCM of 6835 and 6839 is 46744565

Least common multiple can be found by multiplying the highest exponent prime factors of 6835 and 6839. First we will calculate the prime factors of 6835 and 6839.

Prime Factorization of 6835


5 6835
1367 1367
1

Prime factors of 6835 are 5,1367. Prime factorization of 6835 in exponential form is:

6835 = 51×13671

Prime Factorization of 6839


7 6839
977 977
1

Prime factors of 6839 are 7,977. Prime factorization of 6839 in exponential form is:

6839 = 71×9771

Now multiplying the highest exponent prime factors to calculate the LCM of 6835 and 6839.

LCM(6835,6839) = 51×71×9771×13671
LCM(6835,6839) = 46744565

Factors of 6835

List of positive integer factors of 6835 that divides 6835 without a remainder.

1, 5, 1367, 6835

Factors of 6839

List of positive integer factors of 6839 that divides 6839 without a remainder.

1, 7, 977, 6839

Least Common Multiple of 6835 and 6839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6835 and 6839, than apply into the LCM equation.

GCF(6835,6839) = 1
LCM(6835,6839) = ( 6835 × 6839) / 1
LCM(6835,6839) = 46744565 / 1
LCM(6835,6839) = 46744565

Properties of LCM 6835 and 6839

(i) The LCM of 6839 and 6835 is associative

LCM of 6835 and 6839 = LCM of 6839 and 6835

Related Least Common Multiples of 6835

Related Least Common Multiples of 6839

Frequently Asked Questions on LCM of 6835 and 6839

1. What is the LCM of 6835 and 6839?

Answer: LCM of 6835 and 6839 is 46744565.

2. What are the Factors of 6835?

Answer: Factors of 6835 are 1, 5, 1367, 6835. There are 4 integers that are factors of 6835. The greatest factor of 6835 is 6835.

3. What are the Factors of 6839?

Answer: Factors of 6839 are 1, 7, 977, 6839. There are 4 integers that are factors of 6839. The greatest factor of 6839 is 6839.

4. How to Find the LCM of 6835 and 6839?

Answer:

Least Common Multiple of 6835 and 6839 = 46744565

Step 1: Find the prime factorization of 6835

6835 = 5 x 1367

Step 2: Find the prime factorization of 6839

6839 = 7 x 977

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

LCM = 46744565 = 5 x 7 x 977 x 1367

Step 4: Therefore, the least common multiple of 6835 and 6839 is 46744565.