Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 885 and 886 the smallest integer that is 784110 that is divisible by both numbers.
Least Common Multiple (LCM) of 885 and 886 is 784110.
LCM(885,886) = 784110
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 885 and 886. First we will calculate the prime factors of 885 and 886.
Prime Factorization of 885
3 | 885 |
5 | 295 |
59 | 59 |
1 |
Prime factors of 885 are 3, 5,59. Prime factorization of 885 in exponential form is:
885 = 31×51×591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 886.
LCM(885,886) = 21×31×51×591×4431
LCM(885,886) = 784110
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1, 2, 443, 886
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 885 and 886, than apply into the LCM equation.
GCF(885,886) = 1
LCM(885,886) = ( 885 × 886) / 1
LCM(885,886) = 784110 / 1
LCM(885,886) = 784110
(i) The LCM of 886 and 885 is associative
LCM of 885 and 886 = LCM of 886 and 885
1. What is the LCM of 885 and 886?
Answer: LCM of 885 and 886 is 784110.
2. What are the Factors of 885?
Answer: Factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885. There are 8 integers that are factors of 885. The greatest factor of 885 is 885.
3. 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.
4. How to Find the LCM of 885 and 886?
Answer:
Least Common Multiple of 885 and 886 = 784110
Step 1: Find the prime factorization of 885
885 = 3 x 5 x 59
Step 2: Find the prime factorization of 886
886 = 2 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 784110 = 2 x 3 x 5 x 59 x 443
Step 4: Therefore, the least common multiple of 885 and 886 is 784110.