Least Common Multiple of 6829 and 6834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6829 and 6834 the smallest integer that is 46669386 that is divisible by both numbers.

Least Common Multiple (LCM) of 6829 and 6834 is 46669386.

LCM(6829,6834) = 46669386

LCM of 6829 and 6834

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

LCM of:
and

Least Common Multiple of 6829 and 6834

LCM of 6829 and 6834 is 46669386

Least common multiple can be found by multiplying the highest exponent prime factors of 6829 and 6834. First we will calculate the prime factors of 6829 and 6834.

Prime Factorization of 6829


6829 6829
1

Prime factors of 6829 are 6829. Prime factorization of 6829 in exponential form is:

6829 = 68291

Prime Factorization of 6834


2 6834
3 3417
17 1139
67 67
1

Prime factors of 6834 are 2, 3, 17,67. Prime factorization of 6834 in exponential form is:

6834 = 21×31×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6829 and 6834.

LCM(6829,6834) = 21×31×171×671×68291
LCM(6829,6834) = 46669386

Factors of 6829

List of positive integer factors of 6829 that divides 6829 without a remainder.

1, 6829

Factors of 6834

List of positive integer factors of 6834 that divides 6834 without a remainder.

1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834

Least Common Multiple of 6829 and 6834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6829 and 6834, than apply into the LCM equation.

GCF(6829,6834) = 1
LCM(6829,6834) = ( 6829 × 6834) / 1
LCM(6829,6834) = 46669386 / 1
LCM(6829,6834) = 46669386

Properties of LCM 6829 and 6834

(i) The LCM of 6834 and 6829 is associative

LCM of 6829 and 6834 = LCM of 6834 and 6829

Related Least Common Multiples of 6829

Related Least Common Multiples of 6834

Frequently Asked Questions on LCM of 6829 and 6834

1. What is the LCM of 6829 and 6834?

Answer: LCM of 6829 and 6834 is 46669386.

2. What are the Factors of 6829?

Answer: Factors of 6829 are 1, 6829. There are 2 integers that are factors of 6829. The greatest factor of 6829 is 6829.

3. What are the Factors of 6834?

Answer: Factors of 6834 are 1, 2, 3, 6, 17, 34, 51, 67, 102, 134, 201, 402, 1139, 2278, 3417, 6834. There are 16 integers that are factors of 6834. The greatest factor of 6834 is 6834.

4. How to Find the LCM of 6829 and 6834?

Answer:

Least Common Multiple of 6829 and 6834 = 46669386

Step 1: Find the prime factorization of 6829

6829 = 6829

Step 2: Find the prime factorization of 6834

6834 = 2 x 3 x 17 x 67

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

LCM = 46669386 = 2 x 3 x 17 x 67 x 6829

Step 4: Therefore, the least common multiple of 6829 and 6834 is 46669386.