Least Common Multiple of 6828 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 6828 and 6835 the smallest integer that is 46669380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6828 and 6835 is 46669380.

LCM(6828,6835) = 46669380

LCM of 6828 and 6835

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

LCM of:
and

Least Common Multiple of 6828 and 6835

LCM of 6828 and 6835 is 46669380

Least common multiple can be found by multiplying the highest exponent prime factors of 6828 and 6835. First we will calculate the prime factors of 6828 and 6835.

Prime Factorization of 6828


2 6828
2 3414
3 1707
569 569
1

Prime factors of 6828 are 2, 3,569. Prime factorization of 6828 in exponential form is:

6828 = 22×31×5691

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 6828 and 6835.

LCM(6828,6835) = 22×31×51×5691×13671
LCM(6828,6835) = 46669380

Factors of 6828

List of positive integer factors of 6828 that divides 6828 without a remainder.

1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828

Factors of 6835

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

1, 5, 1367, 6835

Least Common Multiple of 6828 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 6828 and 6835, than apply into the LCM equation.

GCF(6828,6835) = 1
LCM(6828,6835) = ( 6828 × 6835) / 1
LCM(6828,6835) = 46669380 / 1
LCM(6828,6835) = 46669380

Properties of LCM 6828 and 6835

(i) The LCM of 6835 and 6828 is associative

LCM of 6828 and 6835 = LCM of 6835 and 6828

Related Least Common Multiples of 6828

Related Least Common Multiples of 6835

Frequently Asked Questions on LCM of 6828 and 6835

1. What is the LCM of 6828 and 6835?

Answer: LCM of 6828 and 6835 is 46669380.

2. What are the Factors of 6828?

Answer: Factors of 6828 are 1, 2, 3, 4, 6, 12, 569, 1138, 1707, 2276, 3414, 6828. There are 12 integers that are factors of 6828. The greatest factor of 6828 is 6828.

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 6828 and 6835?

Answer:

Least Common Multiple of 6828 and 6835 = 46669380

Step 1: Find the prime factorization of 6828

6828 = 2 x 2 x 3 x 569

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 = 46669380 = 2 x 2 x 3 x 5 x 569 x 1367

Step 4: Therefore, the least common multiple of 6828 and 6835 is 46669380.