Least Common Multiple of 6874 and 6882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6874 and 6882 the smallest integer that is 23653434 that is divisible by both numbers.

Least Common Multiple (LCM) of 6874 and 6882 is 23653434.

LCM(6874,6882) = 23653434

LCM of 6874 and 6882

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

LCM of:
and

Least Common Multiple of 6874 and 6882

LCM of 6874 and 6882 is 23653434

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6882. First we will calculate the prime factors of 6874 and 6882.

Prime Factorization of 6874


2 6874
7 3437
491 491
1

Prime factors of 6874 are 2, 7,491. Prime factorization of 6874 in exponential form is:

6874 = 21×71×4911

Prime Factorization of 6882


2 6882
3 3441
31 1147
37 37
1

Prime factors of 6882 are 2, 3, 31,37. Prime factorization of 6882 in exponential form is:

6882 = 21×31×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6882.

LCM(6874,6882) = 21×31×71×311×371×4911
LCM(6874,6882) = 23653434

Factors of 6874

List of positive integer factors of 6874 that divides 6874 without a remainder.

1, 2, 7, 14, 491, 982, 3437, 6874

Factors of 6882

List of positive integer factors of 6882 that divides 6882 without a remainder.

1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882

Least Common Multiple of 6874 and 6882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6882, than apply into the LCM equation.

GCF(6874,6882) = 2
LCM(6874,6882) = ( 6874 × 6882) / 2
LCM(6874,6882) = 47306868 / 2
LCM(6874,6882) = 23653434

Properties of LCM 6874 and 6882

(i) The LCM of 6882 and 6874 is associative

LCM of 6874 and 6882 = LCM of 6882 and 6874

Related Least Common Multiples of 6874

Related Least Common Multiples of 6882

Frequently Asked Questions on LCM of 6874 and 6882

1. What is the LCM of 6874 and 6882?

Answer: LCM of 6874 and 6882 is 23653434.

2. What are the Factors of 6874?

Answer: Factors of 6874 are 1, 2, 7, 14, 491, 982, 3437, 6874. There are 8 integers that are factors of 6874. The greatest factor of 6874 is 6874.

3. What are the Factors of 6882?

Answer: Factors of 6882 are 1, 2, 3, 6, 31, 37, 62, 74, 93, 111, 186, 222, 1147, 2294, 3441, 6882. There are 16 integers that are factors of 6882. The greatest factor of 6882 is 6882.

4. How to Find the LCM of 6874 and 6882?

Answer:

Least Common Multiple of 6874 and 6882 = 23653434

Step 1: Find the prime factorization of 6874

6874 = 2 x 7 x 491

Step 2: Find the prime factorization of 6882

6882 = 2 x 3 x 31 x 37

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

LCM = 23653434 = 2 x 3 x 7 x 31 x 37 x 491

Step 4: Therefore, the least common multiple of 6874 and 6882 is 23653434.