Least Common Multiple of 6884 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 6884 and 6888 the smallest integer that is 11854248 that is divisible by both numbers.

Least Common Multiple (LCM) of 6884 and 6888 is 11854248.

LCM(6884,6888) = 11854248

LCM of 6884 and 6888

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

LCM of:
and

Least Common Multiple of 6884 and 6888

LCM of 6884 and 6888 is 11854248

Least common multiple can be found by multiplying the highest exponent prime factors of 6884 and 6888. First we will calculate the prime factors of 6884 and 6888.

Prime Factorization of 6884


2 6884
2 3442
1721 1721
1

Prime factors of 6884 are 2,1721. Prime factorization of 6884 in exponential form is:

6884 = 22×17211

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 6884 and 6888.

LCM(6884,6888) = 23×31×71×411×17211
LCM(6884,6888) = 11854248

Factors of 6884

List of positive integer factors of 6884 that divides 6884 without a remainder.

1, 2, 4, 1721, 3442, 6884

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 6884 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 6884 and 6888, than apply into the LCM equation.

GCF(6884,6888) = 4
LCM(6884,6888) = ( 6884 × 6888) / 4
LCM(6884,6888) = 47416992 / 4
LCM(6884,6888) = 11854248

Properties of LCM 6884 and 6888

(i) The LCM of 6888 and 6884 is associative

LCM of 6884 and 6888 = LCM of 6888 and 6884

Related Least Common Multiples of 6884

Related Least Common Multiples of 6888

Frequently Asked Questions on LCM of 6884 and 6888

1. What is the LCM of 6884 and 6888?

Answer: LCM of 6884 and 6888 is 11854248.

2. What are the Factors of 6884?

Answer: Factors of 6884 are 1, 2, 4, 1721, 3442, 6884. There are 6 integers that are factors of 6884. The greatest factor of 6884 is 6884.

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 6884 and 6888?

Answer:

Least Common Multiple of 6884 and 6888 = 11854248

Step 1: Find the prime factorization of 6884

6884 = 2 x 2 x 1721

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 = 11854248 = 2 x 2 x 2 x 3 x 7 x 41 x 1721

Step 4: Therefore, the least common multiple of 6884 and 6888 is 11854248.