Least Common Multiple of 853 and 856

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 856 the smallest integer that is 730168 that is divisible by both numbers.

Least Common Multiple (LCM) of 853 and 856 is 730168.

LCM(853,856) = 730168

LCM of 853 and 856

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

LCM of:
and

Least Common Multiple of 853 and 856

LCM of 853 and 856 is 730168

Least common multiple can be found by multiplying the highest exponent prime factors of 853 and 856. First we will calculate the prime factors of 853 and 856.

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 856


2 856
2 428
2 214
107 107
1

Prime factors of 856 are 2,107. Prime factorization of 856 in exponential form is:

856 = 23×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 853 and 856.

LCM(853,856) = 23×1071×8531
LCM(853,856) = 730168

Factors of 853

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

1, 853

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Least Common Multiple of 853 and 856 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 856, than apply into the LCM equation.

GCF(853,856) = 1
LCM(853,856) = ( 853 × 856) / 1
LCM(853,856) = 730168 / 1
LCM(853,856) = 730168

Properties of LCM 853 and 856

(i) The LCM of 856 and 853 is associative

LCM of 853 and 856 = LCM of 856 and 853

Related Least Common Multiples of 853

Related Least Common Multiples of 856

Frequently Asked Questions on LCM of 853 and 856

1. What is the LCM of 853 and 856?

Answer: LCM of 853 and 856 is 730168.

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 856?

Answer: Factors of 856 are 1, 2, 4, 8, 107, 214, 428, 856. There are 8 integers that are factors of 856. The greatest factor of 856 is 856.

4. How to Find the LCM of 853 and 856?

Answer:

Least Common Multiple of 853 and 856 = 730168

Step 1: Find the prime factorization of 853

853 = 853

Step 2: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

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

LCM = 730168 = 2 x 2 x 2 x 107 x 853

Step 4: Therefore, the least common multiple of 853 and 856 is 730168.