Least Common Multiple of 6830 and 6835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6830 and 6835 the smallest integer that is 9336610 that is divisible by both numbers.

Least Common Multiple (LCM) of 6830 and 6835 is 9336610.

LCM(6830,6835) = 9336610

LCM of 6830 and 6835

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

LCM of:
and

Least Common Multiple of 6830 and 6835

LCM of 6830 and 6835 is 9336610

Least common multiple can be found by multiplying the highest exponent prime factors of 6830 and 6835. First we will calculate the prime factors of 6830 and 6835.

Prime Factorization of 6830


2 6830
5 3415
683 683
1

Prime factors of 6830 are 2, 5,683. Prime factorization of 6830 in exponential form is:

6830 = 21×51×6831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6830 and 6835.

LCM(6830,6835) = 21×51×6831×13671
LCM(6830,6835) = 9336610

Factors of 6830

List of positive integer factors of 6830 that divides 6830 without a remainder.

1, 2, 5, 10, 683, 1366, 3415, 6830

Factors of 6835

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

1, 5, 1367, 6835

Least Common Multiple of 6830 and 6835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6830 and 6835, than apply into the LCM equation.

GCF(6830,6835) = 5
LCM(6830,6835) = ( 6830 × 6835) / 5
LCM(6830,6835) = 46683050 / 5
LCM(6830,6835) = 9336610

Properties of LCM 6830 and 6835

(i) The LCM of 6835 and 6830 is associative

LCM of 6830 and 6835 = LCM of 6835 and 6830

Related Least Common Multiples of 6830

Related Least Common Multiples of 6835

Frequently Asked Questions on LCM of 6830 and 6835

1. What is the LCM of 6830 and 6835?

Answer: LCM of 6830 and 6835 is 9336610.

2. What are the Factors of 6830?

Answer: Factors of 6830 are 1, 2, 5, 10, 683, 1366, 3415, 6830. There are 8 integers that are factors of 6830. The greatest factor of 6830 is 6830.

3. 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.

4. How to Find the LCM of 6830 and 6835?

Answer:

Least Common Multiple of 6830 and 6835 = 9336610

Step 1: Find the prime factorization of 6830

6830 = 2 x 5 x 683

Step 2: Find the prime factorization of 6835

6835 = 5 x 1367

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

LCM = 9336610 = 2 x 5 x 683 x 1367

Step 4: Therefore, the least common multiple of 6830 and 6835 is 9336610.