Least Common Multiple of 6839 and 6846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6839 and 6846 the smallest integer that is 6688542 that is divisible by both numbers.

Least Common Multiple (LCM) of 6839 and 6846 is 6688542.

LCM(6839,6846) = 6688542

LCM of 6839 and 6846

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

LCM of:
and

Least Common Multiple of 6839 and 6846

LCM of 6839 and 6846 is 6688542

Least common multiple can be found by multiplying the highest exponent prime factors of 6839 and 6846. First we will calculate the prime factors of 6839 and 6846.

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

Prime Factorization of 6846


2 6846
3 3423
7 1141
163 163
1

Prime factors of 6846 are 2, 3, 7,163. Prime factorization of 6846 in exponential form is:

6846 = 21×31×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6839 and 6846.

LCM(6839,6846) = 21×31×71×1631×9771
LCM(6839,6846) = 6688542

Factors of 6839

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

1, 7, 977, 6839

Factors of 6846

List of positive integer factors of 6846 that divides 6846 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846

Least Common Multiple of 6839 and 6846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6839 and 6846, than apply into the LCM equation.

GCF(6839,6846) = 7
LCM(6839,6846) = ( 6839 × 6846) / 7
LCM(6839,6846) = 46819794 / 7
LCM(6839,6846) = 6688542

Properties of LCM 6839 and 6846

(i) The LCM of 6846 and 6839 is associative

LCM of 6839 and 6846 = LCM of 6846 and 6839

Related Least Common Multiples of 6839

Related Least Common Multiples of 6846

Frequently Asked Questions on LCM of 6839 and 6846

1. What is the LCM of 6839 and 6846?

Answer: LCM of 6839 and 6846 is 6688542.

2. 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.

3. What are the Factors of 6846?

Answer: Factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846. There are 16 integers that are factors of 6846. The greatest factor of 6846 is 6846.

4. How to Find the LCM of 6839 and 6846?

Answer:

Least Common Multiple of 6839 and 6846 = 6688542

Step 1: Find the prime factorization of 6839

6839 = 7 x 977

Step 2: Find the prime factorization of 6846

6846 = 2 x 3 x 7 x 163

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

LCM = 6688542 = 2 x 3 x 7 x 163 x 977

Step 4: Therefore, the least common multiple of 6839 and 6846 is 6688542.