Least Common Multiple of 851 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 851 and 856 the smallest integer that is 728456 that is divisible by both numbers.

Least Common Multiple (LCM) of 851 and 856 is 728456.

LCM(851,856) = 728456

LCM of 851 and 856

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

LCM of:
and

Least Common Multiple of 851 and 856

LCM of 851 and 856 is 728456

Least common multiple can be found by multiplying the highest exponent prime factors of 851 and 856. First we will calculate the prime factors of 851 and 856.

Prime Factorization of 851


23 851
37 37
1

Prime factors of 851 are 23,37. Prime factorization of 851 in exponential form is:

851 = 231×371

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 851 and 856.

LCM(851,856) = 23×231×371×1071
LCM(851,856) = 728456

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1, 23, 37, 851

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 851 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 851 and 856, than apply into the LCM equation.

GCF(851,856) = 1
LCM(851,856) = ( 851 × 856) / 1
LCM(851,856) = 728456 / 1
LCM(851,856) = 728456

Properties of LCM 851 and 856

(i) The LCM of 856 and 851 is associative

LCM of 851 and 856 = LCM of 856 and 851

Related Least Common Multiples of 851

Related Least Common Multiples of 856

Frequently Asked Questions on LCM of 851 and 856

1. What is the LCM of 851 and 856?

Answer: LCM of 851 and 856 is 728456.

2. What are the Factors of 851?

Answer: Factors of 851 are 1, 23, 37, 851. There are 4 integers that are factors of 851. The greatest factor of 851 is 851.

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 851 and 856?

Answer:

Least Common Multiple of 851 and 856 = 728456

Step 1: Find the prime factorization of 851

851 = 23 x 37

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 = 728456 = 2 x 2 x 2 x 23 x 37 x 107

Step 4: Therefore, the least common multiple of 851 and 856 is 728456.