Least Common Multiple of 6882 and 6888

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6882 and 6888 the smallest integer that is 7900536 that is divisible by both numbers.

Least Common Multiple (LCM) of 6882 and 6888 is 7900536.

LCM(6882,6888) = 7900536

LCM of 6882 and 6888

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

LCM of:
and

Least Common Multiple of 6882 and 6888

LCM of 6882 and 6888 is 7900536

Least common multiple can be found by multiplying the highest exponent prime factors of 6882 and 6888. First we will calculate the prime factors of 6882 and 6888.

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

Prime Factorization of 6888


2 6888
2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 6888 are 2, 3, 7,41. Prime factorization of 6888 in exponential form is:

6888 = 23×31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 6882 and 6888.

LCM(6882,6888) = 23×31×71×311×371×411
LCM(6882,6888) = 7900536

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

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888

Least Common Multiple of 6882 and 6888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6882 and 6888, than apply into the LCM equation.

GCF(6882,6888) = 6
LCM(6882,6888) = ( 6882 × 6888) / 6
LCM(6882,6888) = 47403216 / 6
LCM(6882,6888) = 7900536

Properties of LCM 6882 and 6888

(i) The LCM of 6888 and 6882 is associative

LCM of 6882 and 6888 = LCM of 6888 and 6882

Related Least Common Multiples of 6882

Related Least Common Multiples of 6888

Frequently Asked Questions on LCM of 6882 and 6888

1. What is the LCM of 6882 and 6888?

Answer: LCM of 6882 and 6888 is 7900536.

2. 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.

3. What are the Factors of 6888?

Answer: Factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888. There are 32 integers that are factors of 6888. The greatest factor of 6888 is 6888.

4. How to Find the LCM of 6882 and 6888?

Answer:

Least Common Multiple of 6882 and 6888 = 7900536

Step 1: Find the prime factorization of 6882

6882 = 2 x 3 x 31 x 37

Step 2: Find the prime factorization of 6888

6888 = 2 x 2 x 2 x 3 x 7 x 41

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

LCM = 7900536 = 2 x 2 x 2 x 3 x 7 x 31 x 37 x 41

Step 4: Therefore, the least common multiple of 6882 and 6888 is 7900536.