Least Common Multiple of 855 and 858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 855 and 858 the smallest integer that is 244530 that is divisible by both numbers.

Least Common Multiple (LCM) of 855 and 858 is 244530.

LCM(855,858) = 244530

LCM of 855 and 858

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

LCM of:
and

Least Common Multiple of 855 and 858

LCM of 855 and 858 is 244530

Least common multiple can be found by multiplying the highest exponent prime factors of 855 and 858. First we will calculate the prime factors of 855 and 858.

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

Prime Factorization of 858


2 858
3 429
11 143
13 13
1

Prime factors of 858 are 2, 3, 11,13. Prime factorization of 858 in exponential form is:

858 = 21×31×111×131

Now multiplying the highest exponent prime factors to calculate the LCM of 855 and 858.

LCM(855,858) = 21×32×51×111×131×191
LCM(855,858) = 244530

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

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

Least Common Multiple of 855 and 858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 855 and 858, than apply into the LCM equation.

GCF(855,858) = 3
LCM(855,858) = ( 855 × 858) / 3
LCM(855,858) = 733590 / 3
LCM(855,858) = 244530

Properties of LCM 855 and 858

(i) The LCM of 858 and 855 is associative

LCM of 855 and 858 = LCM of 858 and 855

Related Least Common Multiples of 855

Related Least Common Multiples of 858

Frequently Asked Questions on LCM of 855 and 858

1. What is the LCM of 855 and 858?

Answer: LCM of 855 and 858 is 244530.

2. 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.

3. What are the Factors of 858?

Answer: Factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. There are 16 integers that are factors of 858. The greatest factor of 858 is 858.

4. How to Find the LCM of 855 and 858?

Answer:

Least Common Multiple of 855 and 858 = 244530

Step 1: Find the prime factorization of 855

855 = 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 858

858 = 2 x 3 x 11 x 13

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

LCM = 244530 = 2 x 3 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 855 and 858 is 244530.