Least Common Multiple of 6881 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 6881 and 6888 the smallest integer that is 6770904 that is divisible by both numbers.

Least Common Multiple (LCM) of 6881 and 6888 is 6770904.

LCM(6881,6888) = 6770904

LCM of 6881 and 6888

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

LCM of:
and

Least Common Multiple of 6881 and 6888

LCM of 6881 and 6888 is 6770904

Least common multiple can be found by multiplying the highest exponent prime factors of 6881 and 6888. First we will calculate the prime factors of 6881 and 6888.

Prime Factorization of 6881


7 6881
983 983
1

Prime factors of 6881 are 7,983. Prime factorization of 6881 in exponential form is:

6881 = 71×9831

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 6881 and 6888.

LCM(6881,6888) = 23×31×71×411×9831
LCM(6881,6888) = 6770904

Factors of 6881

List of positive integer factors of 6881 that divides 6881 without a remainder.

1, 7, 983, 6881

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 6881 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 6881 and 6888, than apply into the LCM equation.

GCF(6881,6888) = 7
LCM(6881,6888) = ( 6881 × 6888) / 7
LCM(6881,6888) = 47396328 / 7
LCM(6881,6888) = 6770904

Properties of LCM 6881 and 6888

(i) The LCM of 6888 and 6881 is associative

LCM of 6881 and 6888 = LCM of 6888 and 6881

Related Least Common Multiples of 6881

Related Least Common Multiples of 6888

Frequently Asked Questions on LCM of 6881 and 6888

1. What is the LCM of 6881 and 6888?

Answer: LCM of 6881 and 6888 is 6770904.

2. What are the Factors of 6881?

Answer: Factors of 6881 are 1, 7, 983, 6881. There are 4 integers that are factors of 6881. The greatest factor of 6881 is 6881.

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 6881 and 6888?

Answer:

Least Common Multiple of 6881 and 6888 = 6770904

Step 1: Find the prime factorization of 6881

6881 = 7 x 983

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 = 6770904 = 2 x 2 x 2 x 3 x 7 x 41 x 983

Step 4: Therefore, the least common multiple of 6881 and 6888 is 6770904.