Least Common Multiple of 6860 and 6866

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 6866 the smallest integer that is 23550380 that is divisible by both numbers.

Least Common Multiple (LCM) of 6860 and 6866 is 23550380.

LCM(6860,6866) = 23550380

LCM of 6860 and 6866

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

LCM of:
and

Least Common Multiple of 6860 and 6866

LCM of 6860 and 6866 is 23550380

Least common multiple can be found by multiplying the highest exponent prime factors of 6860 and 6866. First we will calculate the prime factors of 6860 and 6866.

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 6866


2 6866
3433 3433
1

Prime factors of 6866 are 2,3433. Prime factorization of 6866 in exponential form is:

6866 = 21×34331

Now multiplying the highest exponent prime factors to calculate the LCM of 6860 and 6866.

LCM(6860,6866) = 22×51×73×34331
LCM(6860,6866) = 23550380

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 6866

List of positive integer factors of 6866 that divides 6866 without a remainder.

1, 2, 3433, 6866

Least Common Multiple of 6860 and 6866 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 6866, than apply into the LCM equation.

GCF(6860,6866) = 2
LCM(6860,6866) = ( 6860 × 6866) / 2
LCM(6860,6866) = 47100760 / 2
LCM(6860,6866) = 23550380

Properties of LCM 6860 and 6866

(i) The LCM of 6866 and 6860 is associative

LCM of 6860 and 6866 = LCM of 6866 and 6860

Related Least Common Multiples of 6860

Related Least Common Multiples of 6866

Frequently Asked Questions on LCM of 6860 and 6866

1. What is the LCM of 6860 and 6866?

Answer: LCM of 6860 and 6866 is 23550380.

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 6866?

Answer: Factors of 6866 are 1, 2, 3433, 6866. There are 4 integers that are factors of 6866. The greatest factor of 6866 is 6866.

4. How to Find the LCM of 6860 and 6866?

Answer:

Least Common Multiple of 6860 and 6866 = 23550380

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 6866

6866 = 2 x 3433

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

LCM = 23550380 = 2 x 2 x 5 x 7 x 7 x 7 x 3433

Step 4: Therefore, the least common multiple of 6860 and 6866 is 23550380.