Least Common Multiple of 6868 and 6873

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6868 and 6873 the smallest integer that is 47203764 that is divisible by both numbers.

Least Common Multiple (LCM) of 6868 and 6873 is 47203764.

LCM(6868,6873) = 47203764

LCM of 6868 and 6873

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

LCM of:
and

Least Common Multiple of 6868 and 6873

LCM of 6868 and 6873 is 47203764

Least common multiple can be found by multiplying the highest exponent prime factors of 6868 and 6873. First we will calculate the prime factors of 6868 and 6873.

Prime Factorization of 6868


2 6868
2 3434
17 1717
101 101
1

Prime factors of 6868 are 2, 17,101. Prime factorization of 6868 in exponential form is:

6868 = 22×171×1011

Prime Factorization of 6873


3 6873
29 2291
79 79
1

Prime factors of 6873 are 3, 29,79. Prime factorization of 6873 in exponential form is:

6873 = 31×291×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6868 and 6873.

LCM(6868,6873) = 22×31×171×291×791×1011
LCM(6868,6873) = 47203764

Factors of 6868

List of positive integer factors of 6868 that divides 6868 without a remainder.

1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868

Factors of 6873

List of positive integer factors of 6873 that divides 6873 without a remainder.

1, 3, 29, 79, 87, 237, 2291, 6873

Least Common Multiple of 6868 and 6873 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6868 and 6873, than apply into the LCM equation.

GCF(6868,6873) = 1
LCM(6868,6873) = ( 6868 × 6873) / 1
LCM(6868,6873) = 47203764 / 1
LCM(6868,6873) = 47203764

Properties of LCM 6868 and 6873

(i) The LCM of 6873 and 6868 is associative

LCM of 6868 and 6873 = LCM of 6873 and 6868

Related Least Common Multiples of 6868

Related Least Common Multiples of 6873

Frequently Asked Questions on LCM of 6868 and 6873

1. What is the LCM of 6868 and 6873?

Answer: LCM of 6868 and 6873 is 47203764.

2. What are the Factors of 6868?

Answer: Factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868. There are 12 integers that are factors of 6868. The greatest factor of 6868 is 6868.

3. What are the Factors of 6873?

Answer: Factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873. There are 8 integers that are factors of 6873. The greatest factor of 6873 is 6873.

4. How to Find the LCM of 6868 and 6873?

Answer:

Least Common Multiple of 6868 and 6873 = 47203764

Step 1: Find the prime factorization of 6868

6868 = 2 x 2 x 17 x 101

Step 2: Find the prime factorization of 6873

6873 = 3 x 29 x 79

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

LCM = 47203764 = 2 x 2 x 3 x 17 x 29 x 79 x 101

Step 4: Therefore, the least common multiple of 6868 and 6873 is 47203764.