Least Common Multiple of 849 and 855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 849 and 855 the smallest integer that is 241965 that is divisible by both numbers.

Least Common Multiple (LCM) of 849 and 855 is 241965.

LCM(849,855) = 241965

LCM of 849 and 855

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

LCM of:
and

Least Common Multiple of 849 and 855

LCM of 849 and 855 is 241965

Least common multiple can be found by multiplying the highest exponent prime factors of 849 and 855. First we will calculate the prime factors of 849 and 855.

Prime Factorization of 849


3 849
283 283
1

Prime factors of 849 are 3,283. Prime factorization of 849 in exponential form is:

849 = 31×2831

Prime Factorization of 855


3 855
3 285
5 95
19 19
1

Prime factors of 855 are 3, 5,19. Prime factorization of 855 in exponential form is:

855 = 32×51×191

Now multiplying the highest exponent prime factors to calculate the LCM of 849 and 855.

LCM(849,855) = 32×51×191×2831
LCM(849,855) = 241965

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Least Common Multiple of 849 and 855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 849 and 855, than apply into the LCM equation.

GCF(849,855) = 3
LCM(849,855) = ( 849 × 855) / 3
LCM(849,855) = 725895 / 3
LCM(849,855) = 241965

Properties of LCM 849 and 855

(i) The LCM of 855 and 849 is associative

LCM of 849 and 855 = LCM of 855 and 849

Related Least Common Multiples of 849

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 849 and 855

1. What is the LCM of 849 and 855?

Answer: LCM of 849 and 855 is 241965.

2. What are the Factors of 849?

Answer: Factors of 849 are 1, 3, 283, 849. There are 4 integers that are factors of 849. The greatest factor of 849 is 849.

3. What are the Factors of 855?

Answer: Factors of 855 are 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855. There are 12 integers that are factors of 855. The greatest factor of 855 is 855.

4. How to Find the LCM of 849 and 855?

Answer:

Least Common Multiple of 849 and 855 = 241965

Step 1: Find the prime factorization of 849

849 = 3 x 283

Step 2: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

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

LCM = 241965 = 3 x 3 x 5 x 19 x 283

Step 4: Therefore, the least common multiple of 849 and 855 is 241965.