Least Common Multiple of 6833 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 6833 and 6834 the smallest integer that is 46696722 that is divisible by both numbers.

Least Common Multiple (LCM) of 6833 and 6834 is 46696722.

LCM(6833,6834) = 46696722

LCM of 6833 and 6834

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

LCM of:
and

Least Common Multiple of 6833 and 6834

LCM of 6833 and 6834 is 46696722

Least common multiple can be found by multiplying the highest exponent prime factors of 6833 and 6834. First we will calculate the prime factors of 6833 and 6834.

Prime Factorization of 6833


6833 6833
1

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

6833 = 68331

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 6833 and 6834.

LCM(6833,6834) = 21×31×171×671×68331
LCM(6833,6834) = 46696722

Factors of 6833

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

1, 6833

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 6833 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 6833 and 6834, than apply into the LCM equation.

GCF(6833,6834) = 1
LCM(6833,6834) = ( 6833 × 6834) / 1
LCM(6833,6834) = 46696722 / 1
LCM(6833,6834) = 46696722

Properties of LCM 6833 and 6834

(i) The LCM of 6834 and 6833 is associative

LCM of 6833 and 6834 = LCM of 6834 and 6833

Related Least Common Multiples of 6833

Related Least Common Multiples of 6834

Frequently Asked Questions on LCM of 6833 and 6834

1. What is the LCM of 6833 and 6834?

Answer: LCM of 6833 and 6834 is 46696722.

2. 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.

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 6833 and 6834?

Answer:

Least Common Multiple of 6833 and 6834 = 46696722

Step 1: Find the prime factorization of 6833

6833 = 6833

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 = 46696722 = 2 x 3 x 17 x 67 x 6833

Step 4: Therefore, the least common multiple of 6833 and 6834 is 46696722.