Least Common Multiple of 6849 and 6855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6849 and 6855 the smallest integer that is 15649965 that is divisible by both numbers.

Least Common Multiple (LCM) of 6849 and 6855 is 15649965.

LCM(6849,6855) = 15649965

LCM of 6849 and 6855

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

LCM of:
and

Least Common Multiple of 6849 and 6855

LCM of 6849 and 6855 is 15649965

Least common multiple can be found by multiplying the highest exponent prime factors of 6849 and 6855. First we will calculate the prime factors of 6849 and 6855.

Prime Factorization of 6849


3 6849
3 2283
761 761
1

Prime factors of 6849 are 3,761. Prime factorization of 6849 in exponential form is:

6849 = 32×7611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6849 and 6855.

LCM(6849,6855) = 32×51×4571×7611
LCM(6849,6855) = 15649965

Factors of 6849

List of positive integer factors of 6849 that divides 6849 without a remainder.

1, 3, 9, 761, 2283, 6849

Factors of 6855

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

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

Least Common Multiple of 6849 and 6855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6849 and 6855, than apply into the LCM equation.

GCF(6849,6855) = 3
LCM(6849,6855) = ( 6849 × 6855) / 3
LCM(6849,6855) = 46949895 / 3
LCM(6849,6855) = 15649965

Properties of LCM 6849 and 6855

(i) The LCM of 6855 and 6849 is associative

LCM of 6849 and 6855 = LCM of 6855 and 6849

Related Least Common Multiples of 6849

Related Least Common Multiples of 6855

Frequently Asked Questions on LCM of 6849 and 6855

1. What is the LCM of 6849 and 6855?

Answer: LCM of 6849 and 6855 is 15649965.

2. What are the Factors of 6849?

Answer: Factors of 6849 are 1, 3, 9, 761, 2283, 6849. There are 6 integers that are factors of 6849. The greatest factor of 6849 is 6849.

3. 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.

4. How to Find the LCM of 6849 and 6855?

Answer:

Least Common Multiple of 6849 and 6855 = 15649965

Step 1: Find the prime factorization of 6849

6849 = 3 x 3 x 761

Step 2: Find the prime factorization of 6855

6855 = 3 x 5 x 457

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

LCM = 15649965 = 3 x 3 x 5 x 457 x 761

Step 4: Therefore, the least common multiple of 6849 and 6855 is 15649965.