Least Common Multiple of 6894 and 6898

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 6898 the smallest integer that is 23777406 that is divisible by both numbers.

Least Common Multiple (LCM) of 6894 and 6898 is 23777406.

LCM(6894,6898) = 23777406

LCM of 6894 and 6898

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

LCM of:
and

Least Common Multiple of 6894 and 6898

LCM of 6894 and 6898 is 23777406

Least common multiple can be found by multiplying the highest exponent prime factors of 6894 and 6898. First we will calculate the prime factors of 6894 and 6898.

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 6898


2 6898
3449 3449
1

Prime factors of 6898 are 2,3449. Prime factorization of 6898 in exponential form is:

6898 = 21×34491

Now multiplying the highest exponent prime factors to calculate the LCM of 6894 and 6898.

LCM(6894,6898) = 21×32×3831×34491
LCM(6894,6898) = 23777406

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 6898

List of positive integer factors of 6898 that divides 6898 without a remainder.

1, 2, 3449, 6898

Least Common Multiple of 6894 and 6898 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 6898, than apply into the LCM equation.

GCF(6894,6898) = 2
LCM(6894,6898) = ( 6894 × 6898) / 2
LCM(6894,6898) = 47554812 / 2
LCM(6894,6898) = 23777406

Properties of LCM 6894 and 6898

(i) The LCM of 6898 and 6894 is associative

LCM of 6894 and 6898 = LCM of 6898 and 6894

Related Least Common Multiples of 6894

Related Least Common Multiples of 6898

Frequently Asked Questions on LCM of 6894 and 6898

1. What is the LCM of 6894 and 6898?

Answer: LCM of 6894 and 6898 is 23777406.

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 6898?

Answer: Factors of 6898 are 1, 2, 3449, 6898. There are 4 integers that are factors of 6898. The greatest factor of 6898 is 6898.

4. How to Find the LCM of 6894 and 6898?

Answer:

Least Common Multiple of 6894 and 6898 = 23777406

Step 1: Find the prime factorization of 6894

6894 = 2 x 3 x 3 x 383

Step 2: Find the prime factorization of 6898

6898 = 2 x 3449

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

LCM = 23777406 = 2 x 3 x 3 x 383 x 3449

Step 4: Therefore, the least common multiple of 6894 and 6898 is 23777406.