Least Common Multiple of 6860 and 6868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6860 and 6868 the smallest integer that is 11778620 that is divisible by both numbers.

Least Common Multiple (LCM) of 6860 and 6868 is 11778620.

LCM(6860,6868) = 11778620

LCM of 6860 and 6868

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

LCM of:
and

Least Common Multiple of 6860 and 6868

LCM of 6860 and 6868 is 11778620

Least common multiple can be found by multiplying the highest exponent prime factors of 6860 and 6868. First we will calculate the prime factors of 6860 and 6868.

Prime Factorization of 6860


2 6860
2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 6860 are 2, 5,7. Prime factorization of 6860 in exponential form is:

6860 = 22×51×73

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6860 and 6868.

LCM(6860,6868) = 22×51×73×171×1011
LCM(6860,6868) = 11778620

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860

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

Least Common Multiple of 6860 and 6868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6860 and 6868, than apply into the LCM equation.

GCF(6860,6868) = 4
LCM(6860,6868) = ( 6860 × 6868) / 4
LCM(6860,6868) = 47114480 / 4
LCM(6860,6868) = 11778620

Properties of LCM 6860 and 6868

(i) The LCM of 6868 and 6860 is associative

LCM of 6860 and 6868 = LCM of 6868 and 6860

Related Least Common Multiples of 6860

Related Least Common Multiples of 6868

Frequently Asked Questions on LCM of 6860 and 6868

1. What is the LCM of 6860 and 6868?

Answer: LCM of 6860 and 6868 is 11778620.

2. What are the Factors of 6860?

Answer: Factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860. There are 24 integers that are factors of 6860. The greatest factor of 6860 is 6860.

3. 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.

4. How to Find the LCM of 6860 and 6868?

Answer:

Least Common Multiple of 6860 and 6868 = 11778620

Step 1: Find the prime factorization of 6860

6860 = 2 x 2 x 5 x 7 x 7 x 7

Step 2: Find the prime factorization of 6868

6868 = 2 x 2 x 17 x 101

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

LCM = 11778620 = 2 x 2 x 5 x 7 x 7 x 7 x 17 x 101

Step 4: Therefore, the least common multiple of 6860 and 6868 is 11778620.