Least Common Multiple of 853 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 853 and 855 the smallest integer that is 729315 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 855 is 729315.

LCM(853,855) = 729315

LCM of 853 and 855

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

LCM of:
and

Least Common Multiple of 853 and 855

LCM of 853 and 855 is 729315

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 855. First we will calculate the prime factors of 853 and 855.

Prime Factorization of 853


853 853
1

Prime factors of 853 are 853. Prime factorization of 853 in exponential form is:

853 = 8531

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 853 and 855.

LCM(853,855) = 32×51×191×8531
LCM(853,855) = 729315

Factors of 853

List of positive integer factors of 853 that divides 853 without a remainder.

1, 853

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 853 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 853 and 855, than apply into the LCM equation.

GCF(853,855) = 1
LCM(853,855) = ( 853 × 855) / 1
LCM(853,855) = 729315 / 1
LCM(853,855) = 729315

Properties of LCM 853 and 855

(i) The LCM of 855 and 853 is associative

LCM of 853 and 855 = LCM of 855 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 855

Frequently Asked Questions on LCM of 853 and 855

1. What is the LCM of 853 and 855?

Answer: LCM of 853 and 855 is 729315.

2. What are the Factors of 853?

Answer: Factors of 853 are 1, 853. There are 2 integers that are factors of 853. The greatest factor of 853 is 853.

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 853 and 855?

Answer:

Least Common Multiple of 853 and 855 = 729315

Step 1: Find the prime factorization of 853

853 = 853

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 = 729315 = 3 x 3 x 5 x 19 x 853

Step 4: Therefore, the least common multiple of 853 and 855 is 729315.