Least Common Multiple of 856 and 863

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 863 the smallest integer that is 738728 that is divisible by both numbers.

Least Common Multiple (LCM) of 856 and 863 is 738728.

LCM(856,863) = 738728

LCM of 856 and 863

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

LCM of:
and

Least Common Multiple of 856 and 863

LCM of 856 and 863 is 738728

Least common multiple can be found by multiplying the highest exponent prime factors of 856 and 863. First we will calculate the prime factors of 856 and 863.

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 863


863 863
1

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 856 and 863.

LCM(856,863) = 23×1071×8631
LCM(856,863) = 738728

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 863

List of positive integer factors of 863 that divides 863 without a remainder.

1, 863

Least Common Multiple of 856 and 863 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 863, than apply into the LCM equation.

GCF(856,863) = 1
LCM(856,863) = ( 856 × 863) / 1
LCM(856,863) = 738728 / 1
LCM(856,863) = 738728

Properties of LCM 856 and 863

(i) The LCM of 863 and 856 is associative

LCM of 856 and 863 = LCM of 863 and 856

Related Least Common Multiples of 856

Related Least Common Multiples of 863

Frequently Asked Questions on LCM of 856 and 863

1. What is the LCM of 856 and 863?

Answer: LCM of 856 and 863 is 738728.

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 863?

Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.

4. How to Find the LCM of 856 and 863?

Answer:

Least Common Multiple of 856 and 863 = 738728

Step 1: Find the prime factorization of 856

856 = 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 863

863 = 863

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

LCM = 738728 = 2 x 2 x 2 x 107 x 863

Step 4: Therefore, the least common multiple of 856 and 863 is 738728.