Least Common Multiple of 6888 and 6894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6888 and 6894 the smallest integer that is 7914312 that is divisible by both numbers.

Least Common Multiple (LCM) of 6888 and 6894 is 7914312.

LCM(6888,6894) = 7914312

LCM of 6888 and 6894

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

LCM of:
and

Least Common Multiple of 6888 and 6894

LCM of 6888 and 6894 is 7914312

Least common multiple can be found by multiplying the highest exponent prime factors of 6888 and 6894. First we will calculate the prime factors of 6888 and 6894.

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

Prime Factorization of 6894


2 6894
3 3447
3 1149
383 383
1

Prime factors of 6894 are 2, 3,383. Prime factorization of 6894 in exponential form is:

6894 = 21×32×3831

Now multiplying the highest exponent prime factors to calculate the LCM of 6888 and 6894.

LCM(6888,6894) = 23×32×71×411×3831
LCM(6888,6894) = 7914312

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

Factors of 6894

List of positive integer factors of 6894 that divides 6894 without a remainder.

1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894

Least Common Multiple of 6888 and 6894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6888 and 6894, than apply into the LCM equation.

GCF(6888,6894) = 6
LCM(6888,6894) = ( 6888 × 6894) / 6
LCM(6888,6894) = 47485872 / 6
LCM(6888,6894) = 7914312

Properties of LCM 6888 and 6894

(i) The LCM of 6894 and 6888 is associative

LCM of 6888 and 6894 = LCM of 6894 and 6888

Related Least Common Multiples of 6888

Related Least Common Multiples of 6894

Frequently Asked Questions on LCM of 6888 and 6894

1. What is the LCM of 6888 and 6894?

Answer: LCM of 6888 and 6894 is 7914312.

2. 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.

3. What are the Factors of 6894?

Answer: Factors of 6894 are 1, 2, 3, 6, 9, 18, 383, 766, 1149, 2298, 3447, 6894. There are 12 integers that are factors of 6894. The greatest factor of 6894 is 6894.

4. How to Find the LCM of 6888 and 6894?

Answer:

Least Common Multiple of 6888 and 6894 = 7914312

Step 1: Find the prime factorization of 6888

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

Step 2: Find the prime factorization of 6894

6894 = 2 x 3 x 3 x 383

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

LCM = 7914312 = 2 x 2 x 2 x 3 x 3 x 7 x 41 x 383

Step 4: Therefore, the least common multiple of 6888 and 6894 is 7914312.