Least Common Multiple of 6897 and 6900

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6897 and 6900 the smallest integer that is 15863100 that is divisible by both numbers.

Least Common Multiple (LCM) of 6897 and 6900 is 15863100.

LCM(6897,6900) = 15863100

LCM of 6897 and 6900

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

LCM of:
and

Least Common Multiple of 6897 and 6900

LCM of 6897 and 6900 is 15863100

Least common multiple can be found by multiplying the highest exponent prime factors of 6897 and 6900. First we will calculate the prime factors of 6897 and 6900.

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

Prime Factorization of 6900


2 6900
2 3450
3 1725
5 575
5 115
23 23
1

Prime factors of 6900 are 2, 3, 5,23. Prime factorization of 6900 in exponential form is:

6900 = 22×31×52×231

Now multiplying the highest exponent prime factors to calculate the LCM of 6897 and 6900.

LCM(6897,6900) = 22×31×52×112×191×231
LCM(6897,6900) = 15863100

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

Factors of 6900

List of positive integer factors of 6900 that divides 6900 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900

Least Common Multiple of 6897 and 6900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6897 and 6900, than apply into the LCM equation.

GCF(6897,6900) = 3
LCM(6897,6900) = ( 6897 × 6900) / 3
LCM(6897,6900) = 47589300 / 3
LCM(6897,6900) = 15863100

Properties of LCM 6897 and 6900

(i) The LCM of 6900 and 6897 is associative

LCM of 6897 and 6900 = LCM of 6900 and 6897

Related Least Common Multiples of 6897

Related Least Common Multiples of 6900

Frequently Asked Questions on LCM of 6897 and 6900

1. What is the LCM of 6897 and 6900?

Answer: LCM of 6897 and 6900 is 15863100.

2. 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.

3. What are the Factors of 6900?

Answer: Factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900. There are 36 integers that are factors of 6900. The greatest factor of 6900 is 6900.

4. How to Find the LCM of 6897 and 6900?

Answer:

Least Common Multiple of 6897 and 6900 = 15863100

Step 1: Find the prime factorization of 6897

6897 = 3 x 11 x 11 x 19

Step 2: Find the prime factorization of 6900

6900 = 2 x 2 x 3 x 5 x 5 x 23

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

LCM = 15863100 = 2 x 2 x 3 x 5 x 5 x 11 x 11 x 19 x 23

Step 4: Therefore, the least common multiple of 6897 and 6900 is 15863100.