Least Common Multiple of 853 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 853 and 858 the smallest integer that is 731874 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 858 is 731874.

LCM(853,858) = 731874

LCM of 853 and 858

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

LCM of:
and

Least Common Multiple of 853 and 858

LCM of 853 and 858 is 731874

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 858. First we will calculate the prime factors of 853 and 858.

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 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 853 and 858.

LCM(853,858) = 21×31×111×131×8531
LCM(853,858) = 731874

Factors of 853

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

1, 853

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 853 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 853 and 858, than apply into the LCM equation.

GCF(853,858) = 1
LCM(853,858) = ( 853 × 858) / 1
LCM(853,858) = 731874 / 1
LCM(853,858) = 731874

Properties of LCM 853 and 858

(i) The LCM of 858 and 853 is associative

LCM of 853 and 858 = LCM of 858 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 858

Frequently Asked Questions on LCM of 853 and 858

1. What is the LCM of 853 and 858?

Answer: LCM of 853 and 858 is 731874.

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 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 853 and 858?

Answer:

Least Common Multiple of 853 and 858 = 731874

Step 1: Find the prime factorization of 853

853 = 853

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 = 731874 = 2 x 3 x 11 x 13 x 853

Step 4: Therefore, the least common multiple of 853 and 858 is 731874.