Least Common Multiple of 6855 and 6860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6855 and 6860 the smallest integer that is 9405060 that is divisible by both numbers.

Least Common Multiple (LCM) of 6855 and 6860 is 9405060.

LCM(6855,6860) = 9405060

LCM of 6855 and 6860

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

LCM of:
and

Least Common Multiple of 6855 and 6860

LCM of 6855 and 6860 is 9405060

Least common multiple can be found by multiplying the highest exponent prime factors of 6855 and 6860. First we will calculate the prime factors of 6855 and 6860.

Prime Factorization of 6855


3 6855
5 2285
457 457
1

Prime factors of 6855 are 3, 5,457. Prime factorization of 6855 in exponential form is:

6855 = 31×51×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6855 and 6860.

LCM(6855,6860) = 22×31×51×73×4571
LCM(6855,6860) = 9405060

Factors of 6855

List of positive integer factors of 6855 that divides 6855 without a remainder.

1, 3, 5, 15, 457, 1371, 2285, 6855

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

Least Common Multiple of 6855 and 6860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6855 and 6860, than apply into the LCM equation.

GCF(6855,6860) = 5
LCM(6855,6860) = ( 6855 × 6860) / 5
LCM(6855,6860) = 47025300 / 5
LCM(6855,6860) = 9405060

Properties of LCM 6855 and 6860

(i) The LCM of 6860 and 6855 is associative

LCM of 6855 and 6860 = LCM of 6860 and 6855

Related Least Common Multiples of 6855

Related Least Common Multiples of 6860

Frequently Asked Questions on LCM of 6855 and 6860

1. What is the LCM of 6855 and 6860?

Answer: LCM of 6855 and 6860 is 9405060.

2. What are the Factors of 6855?

Answer: Factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855. There are 8 integers that are factors of 6855. The greatest factor of 6855 is 6855.

3. 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.

4. How to Find the LCM of 6855 and 6860?

Answer:

Least Common Multiple of 6855 and 6860 = 9405060

Step 1: Find the prime factorization of 6855

6855 = 3 x 5 x 457

Step 2: Find the prime factorization of 6860

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

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

LCM = 9405060 = 2 x 2 x 3 x 5 x 7 x 7 x 7 x 457

Step 4: Therefore, the least common multiple of 6855 and 6860 is 9405060.