Least Common Multiple of 6892 and 6897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6892 and 6897 the smallest integer that is 47534124 that is divisible by both numbers.

Least Common Multiple (LCM) of 6892 and 6897 is 47534124.

LCM(6892,6897) = 47534124

LCM of 6892 and 6897

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

LCM of:
and

Least Common Multiple of 6892 and 6897

LCM of 6892 and 6897 is 47534124

Least common multiple can be found by multiplying the highest exponent prime factors of 6892 and 6897. First we will calculate the prime factors of 6892 and 6897.

Prime Factorization of 6892


2 6892
2 3446
1723 1723
1

Prime factors of 6892 are 2,1723. Prime factorization of 6892 in exponential form is:

6892 = 22×17231

Prime Factorization of 6897


3 6897
11 2299
11 209
19 19
1

Prime factors of 6897 are 3, 11,19. Prime factorization of 6897 in exponential form is:

6897 = 31×112×191

Now multiplying the highest exponent prime factors to calculate the LCM of 6892 and 6897.

LCM(6892,6897) = 22×31×112×191×17231
LCM(6892,6897) = 47534124

Factors of 6892

List of positive integer factors of 6892 that divides 6892 without a remainder.

1, 2, 4, 1723, 3446, 6892

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897

Least Common Multiple of 6892 and 6897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6892 and 6897, than apply into the LCM equation.

GCF(6892,6897) = 1
LCM(6892,6897) = ( 6892 × 6897) / 1
LCM(6892,6897) = 47534124 / 1
LCM(6892,6897) = 47534124

Properties of LCM 6892 and 6897

(i) The LCM of 6897 and 6892 is associative

LCM of 6892 and 6897 = LCM of 6897 and 6892

Related Least Common Multiples of 6892

Related Least Common Multiples of 6897

Frequently Asked Questions on LCM of 6892 and 6897

1. What is the LCM of 6892 and 6897?

Answer: LCM of 6892 and 6897 is 47534124.

2. What are the Factors of 6892?

Answer: Factors of 6892 are 1, 2, 4, 1723, 3446, 6892. There are 6 integers that are factors of 6892. The greatest factor of 6892 is 6892.

3. What are the Factors of 6897?

Answer: Factors of 6897 are 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897. There are 12 integers that are factors of 6897. The greatest factor of 6897 is 6897.

4. How to Find the LCM of 6892 and 6897?

Answer:

Least Common Multiple of 6892 and 6897 = 47534124

Step 1: Find the prime factorization of 6892

6892 = 2 x 2 x 1723

Step 2: Find the prime factorization of 6897

6897 = 3 x 11 x 11 x 19

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

LCM = 47534124 = 2 x 2 x 3 x 11 x 11 x 19 x 1723

Step 4: Therefore, the least common multiple of 6892 and 6897 is 47534124.