Least Common Multiple of 6894 and 6902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6894 and 6902 the smallest integer that is 23791194 that is divisible by both numbers.

Least Common Multiple (LCM) of 6894 and 6902 is 23791194.

LCM(6894,6902) = 23791194

LCM of 6894 and 6902

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

LCM of:
and

Least Common Multiple of 6894 and 6902

LCM of 6894 and 6902 is 23791194

Least common multiple can be found by multiplying the highest exponent prime factors of 6894 and 6902. First we will calculate the prime factors of 6894 and 6902.

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

Prime Factorization of 6902


2 6902
7 3451
17 493
29 29
1

Prime factors of 6902 are 2, 7, 17,29. Prime factorization of 6902 in exponential form is:

6902 = 21×71×171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6894 and 6902.

LCM(6894,6902) = 21×32×71×171×291×3831
LCM(6894,6902) = 23791194

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

Factors of 6902

List of positive integer factors of 6902 that divides 6902 without a remainder.

1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902

Least Common Multiple of 6894 and 6902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6894 and 6902, than apply into the LCM equation.

GCF(6894,6902) = 2
LCM(6894,6902) = ( 6894 × 6902) / 2
LCM(6894,6902) = 47582388 / 2
LCM(6894,6902) = 23791194

Properties of LCM 6894 and 6902

(i) The LCM of 6902 and 6894 is associative

LCM of 6894 and 6902 = LCM of 6902 and 6894

Related Least Common Multiples of 6894

Related Least Common Multiples of 6902

Frequently Asked Questions on LCM of 6894 and 6902

1. What is the LCM of 6894 and 6902?

Answer: LCM of 6894 and 6902 is 23791194.

2. 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.

3. What are the Factors of 6902?

Answer: Factors of 6902 are 1, 2, 7, 14, 17, 29, 34, 58, 119, 203, 238, 406, 493, 986, 3451, 6902. There are 16 integers that are factors of 6902. The greatest factor of 6902 is 6902.

4. How to Find the LCM of 6894 and 6902?

Answer:

Least Common Multiple of 6894 and 6902 = 23791194

Step 1: Find the prime factorization of 6894

6894 = 2 x 3 x 3 x 383

Step 2: Find the prime factorization of 6902

6902 = 2 x 7 x 17 x 29

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

LCM = 23791194 = 2 x 3 x 3 x 7 x 17 x 29 x 383

Step 4: Therefore, the least common multiple of 6894 and 6902 is 23791194.