Least Common Multiple of 856 and 861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 856 and 861 the smallest integer that is 737016 that is divisible by both numbers.

Least Common Multiple (LCM) of 856 and 861 is 737016.

LCM(856,861) = 737016

LCM of 856 and 861

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

LCM of:
and

Least Common Multiple of 856 and 861

LCM of 856 and 861 is 737016

Least common multiple can be found by multiplying the highest exponent prime factors of 856 and 861. First we will calculate the prime factors of 856 and 861.

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

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3, 7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Now multiplying the highest exponent prime factors to calculate the LCM of 856 and 861.

LCM(856,861) = 23×31×71×411×1071
LCM(856,861) = 737016

Factors of 856

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

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

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Least Common Multiple of 856 and 861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 856 and 861, than apply into the LCM equation.

GCF(856,861) = 1
LCM(856,861) = ( 856 × 861) / 1
LCM(856,861) = 737016 / 1
LCM(856,861) = 737016

Properties of LCM 856 and 861

(i) The LCM of 861 and 856 is associative

LCM of 856 and 861 = LCM of 861 and 856

Related Least Common Multiples of 856

Related Least Common Multiples of 861

Frequently Asked Questions on LCM of 856 and 861

1. What is the LCM of 856 and 861?

Answer: LCM of 856 and 861 is 737016.

2. 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.

3. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

4. How to Find the LCM of 856 and 861?

Answer:

Least Common Multiple of 856 and 861 = 737016

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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

LCM = 737016 = 2 x 2 x 2 x 3 x 7 x 41 x 107

Step 4: Therefore, the least common multiple of 856 and 861 is 737016.