Least Common Multiple of 6880 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 6880 and 6888 the smallest integer that is 5923680 that is divisible by both numbers.

Least Common Multiple (LCM) of 6880 and 6888 is 5923680.

LCM(6880,6888) = 5923680

LCM of 6880 and 6888

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

LCM of:
and

Least Common Multiple of 6880 and 6888

LCM of 6880 and 6888 is 5923680

Least common multiple can be found by multiplying the highest exponent prime factors of 6880 and 6888. First we will calculate the prime factors of 6880 and 6888.

Prime Factorization of 6880


2 6880
2 3440
2 1720
2 860
2 430
5 215
43 43
1

Prime factors of 6880 are 2, 5,43. Prime factorization of 6880 in exponential form is:

6880 = 25×51×431

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 6880 and 6888.

LCM(6880,6888) = 25×31×51×71×411×431
LCM(6880,6888) = 5923680

Factors of 6880

List of positive integer factors of 6880 that divides 6880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880

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 6880 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 6880 and 6888, than apply into the LCM equation.

GCF(6880,6888) = 8
LCM(6880,6888) = ( 6880 × 6888) / 8
LCM(6880,6888) = 47389440 / 8
LCM(6880,6888) = 5923680

Properties of LCM 6880 and 6888

(i) The LCM of 6888 and 6880 is associative

LCM of 6880 and 6888 = LCM of 6888 and 6880

Related Least Common Multiples of 6880

Related Least Common Multiples of 6888

Frequently Asked Questions on LCM of 6880 and 6888

1. What is the LCM of 6880 and 6888?

Answer: LCM of 6880 and 6888 is 5923680.

2. What are the Factors of 6880?

Answer: Factors of 6880 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 80, 86, 160, 172, 215, 344, 430, 688, 860, 1376, 1720, 3440, 6880. There are 24 integers that are factors of 6880. The greatest factor of 6880 is 6880.

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 6880 and 6888?

Answer:

Least Common Multiple of 6880 and 6888 = 5923680

Step 1: Find the prime factorization of 6880

6880 = 2 x 2 x 2 x 2 x 2 x 5 x 43

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 = 5923680 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 41 x 43

Step 4: Therefore, the least common multiple of 6880 and 6888 is 5923680.