Least Common Multiple of 886 and 887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 886 and 887 the smallest integer that is 785882 that is divisible by both numbers.

Least Common Multiple (LCM) of 886 and 887 is 785882.

LCM(886,887) = 785882

LCM of 886 and 887

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

LCM of:
and

Least Common Multiple of 886 and 887

LCM of 886 and 887 is 785882

Least common multiple can be found by multiplying the highest exponent prime factors of 886 and 887. First we will calculate the prime factors of 886 and 887.

Prime Factorization of 886


2 886
443 443
1

Prime factors of 886 are 2,443. Prime factorization of 886 in exponential form is:

886 = 21×4431

Prime Factorization of 887


887 887
1

Prime factors of 887 are 887. Prime factorization of 887 in exponential form is:

887 = 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 886 and 887.

LCM(886,887) = 21×4431×8871
LCM(886,887) = 785882

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Factors of 887

List of positive integer factors of 887 that divides 887 without a remainder.

1, 887

Least Common Multiple of 886 and 887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 886 and 887, than apply into the LCM equation.

GCF(886,887) = 1
LCM(886,887) = ( 886 × 887) / 1
LCM(886,887) = 785882 / 1
LCM(886,887) = 785882

Properties of LCM 886 and 887

(i) The LCM of 887 and 886 is associative

LCM of 886 and 887 = LCM of 887 and 886

Frequently Asked Questions on LCM of 886 and 887

1. What is the LCM of 886 and 887?

Answer: LCM of 886 and 887 is 785882.

2. What are the Factors of 886?

Answer: Factors of 886 are 1, 2, 443, 886. There are 4 integers that are factors of 886. The greatest factor of 886 is 886.

3. What are the Factors of 887?

Answer: Factors of 887 are 1, 887. There are 2 integers that are factors of 887. The greatest factor of 887 is 887.

4. How to Find the LCM of 886 and 887?

Answer:

Least Common Multiple of 886 and 887 = 785882

Step 1: Find the prime factorization of 886

886 = 2 x 443

Step 2: Find the prime factorization of 887

887 = 887

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

LCM = 785882 = 2 x 443 x 887

Step 4: Therefore, the least common multiple of 886 and 887 is 785882.