Least Common Multiple of 854 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 854 and 856 the smallest integer that is 365512 that is divisible by both numbers.

Least Common Multiple (LCM) of 854 and 856 is 365512.

LCM(854,856) = 365512

LCM of 854 and 856

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

LCM of:
and

Least Common Multiple of 854 and 856

LCM of 854 and 856 is 365512

Least common multiple can be found by multiplying the highest exponent prime factors of 854 and 856. First we will calculate the prime factors of 854 and 856.

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2, 7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

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 854 and 856.

LCM(854,856) = 23×71×611×1071
LCM(854,856) = 365512

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 854 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 854 and 856, than apply into the LCM equation.

GCF(854,856) = 2
LCM(854,856) = ( 854 × 856) / 2
LCM(854,856) = 731024 / 2
LCM(854,856) = 365512

Properties of LCM 854 and 856

(i) The LCM of 856 and 854 is associative

LCM of 854 and 856 = LCM of 856 and 854

Related Least Common Multiples of 854

Related Least Common Multiples of 856

Frequently Asked Questions on LCM of 854 and 856

1. What is the LCM of 854 and 856?

Answer: LCM of 854 and 856 is 365512.

2. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

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 854 and 856?

Answer:

Least Common Multiple of 854 and 856 = 365512

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

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 = 365512 = 2 x 2 x 2 x 7 x 61 x 107

Step 4: Therefore, the least common multiple of 854 and 856 is 365512.