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
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
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
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
(i) The LCM of 887 and 886 is associative
LCM of 886 and 887 = LCM of 887 and 886
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.