Least Common Multiple of 6860 and 6867

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 6867 the smallest integer that is 6729660 that is divisible by both numbers.

Least Common Multiple (LCM) of 6860 and 6867 is 6729660.

LCM(6860,6867) = 6729660

LCM of 6860 and 6867

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

LCM of:
and

Least Common Multiple of 6860 and 6867

LCM of 6860 and 6867 is 6729660

Least common multiple can be found by multiplying the highest exponent prime factors of 6860 and 6867. First we will calculate the prime factors of 6860 and 6867.

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 6867


3 6867
3 2289
7 763
109 109
1

Prime factors of 6867 are 3, 7,109. Prime factorization of 6867 in exponential form is:

6867 = 32×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6860 and 6867.

LCM(6860,6867) = 22×32×51×73×1091
LCM(6860,6867) = 6729660

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 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867

Least Common Multiple of 6860 and 6867 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 6867, than apply into the LCM equation.

GCF(6860,6867) = 7
LCM(6860,6867) = ( 6860 × 6867) / 7
LCM(6860,6867) = 47107620 / 7
LCM(6860,6867) = 6729660

Properties of LCM 6860 and 6867

(i) The LCM of 6867 and 6860 is associative

LCM of 6860 and 6867 = LCM of 6867 and 6860

Related Least Common Multiples of 6860

Related Least Common Multiples of 6867

Frequently Asked Questions on LCM of 6860 and 6867

1. What is the LCM of 6860 and 6867?

Answer: LCM of 6860 and 6867 is 6729660.

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 6867?

Answer: Factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867. There are 12 integers that are factors of 6867. The greatest factor of 6867 is 6867.

4. How to Find the LCM of 6860 and 6867?

Answer:

Least Common Multiple of 6860 and 6867 = 6729660

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 6867

6867 = 3 x 3 x 7 x 109

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

LCM = 6729660 = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 x 109

Step 4: Therefore, the least common multiple of 6860 and 6867 is 6729660.