Least Common Multiple of 6868 and 6875

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 6875 the smallest integer that is 47217500 that is divisible by both numbers.

Least Common Multiple (LCM) of 6868 and 6875 is 47217500.

LCM(6868,6875) = 47217500

LCM of 6868 and 6875

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

LCM of:
and

Least Common Multiple of 6868 and 6875

LCM of 6868 and 6875 is 47217500

Least common multiple can be found by multiplying the highest exponent prime factors of 6868 and 6875. First we will calculate the prime factors of 6868 and 6875.

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 6875


5 6875
5 1375
5 275
5 55
11 11
1

Prime factors of 6875 are 5,11. Prime factorization of 6875 in exponential form is:

6875 = 54×111

Now multiplying the highest exponent prime factors to calculate the LCM of 6868 and 6875.

LCM(6868,6875) = 22×54×111×171×1011
LCM(6868,6875) = 47217500

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 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875

Least Common Multiple of 6868 and 6875 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 6875, than apply into the LCM equation.

GCF(6868,6875) = 1
LCM(6868,6875) = ( 6868 × 6875) / 1
LCM(6868,6875) = 47217500 / 1
LCM(6868,6875) = 47217500

Properties of LCM 6868 and 6875

(i) The LCM of 6875 and 6868 is associative

LCM of 6868 and 6875 = LCM of 6875 and 6868

Related Least Common Multiples of 6868

Related Least Common Multiples of 6875

Frequently Asked Questions on LCM of 6868 and 6875

1. What is the LCM of 6868 and 6875?

Answer: LCM of 6868 and 6875 is 47217500.

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 6875?

Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.

4. How to Find the LCM of 6868 and 6875?

Answer:

Least Common Multiple of 6868 and 6875 = 47217500

Step 1: Find the prime factorization of 6868

6868 = 2 x 2 x 17 x 101

Step 2: Find the prime factorization of 6875

6875 = 5 x 5 x 5 x 5 x 11

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

LCM = 47217500 = 2 x 2 x 5 x 5 x 5 x 5 x 11 x 17 x 101

Step 4: Therefore, the least common multiple of 6868 and 6875 is 47217500.