Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 881 and 885 the smallest integer that is 779685 that is divisible by both numbers.
Least Common Multiple (LCM) of 881 and 885 is 779685.
LCM(881,885) = 779685
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 881 and 885. First we will calculate the prime factors of 881 and 885.
Prime Factorization of 881
881 | 881 |
1 |
Prime factors of 881 are 881. Prime factorization of 881 in exponential form is:
881 = 8811
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
Now multiplying the highest exponent prime factors to calculate the LCM of 881 and 885.
LCM(881,885) = 31×51×591×8811
LCM(881,885) = 779685
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1, 881
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1, 3, 5, 15, 59, 177, 295, 885
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 881 and 885, than apply into the LCM equation.
GCF(881,885) = 1
LCM(881,885) = ( 881 × 885) / 1
LCM(881,885) = 779685 / 1
LCM(881,885) = 779685
(i) The LCM of 885 and 881 is associative
LCM of 881 and 885 = LCM of 885 and 881
1. What is the LCM of 881 and 885?
Answer: LCM of 881 and 885 is 779685.
2. What are the Factors of 881?
Answer: Factors of 881 are 1, 881. There are 2 integers that are factors of 881. The greatest factor of 881 is 881.
3. 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.
4. How to Find the LCM of 881 and 885?
Answer:
Least Common Multiple of 881 and 885 = 779685
Step 1: Find the prime factorization of 881
881 = 881
Step 2: Find the prime factorization of 885
885 = 3 x 5 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 779685 = 3 x 5 x 59 x 881
Step 4: Therefore, the least common multiple of 881 and 885 is 779685.