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 889 the smallest integer that is 786765 that is divisible by both numbers.
Least Common Multiple (LCM) of 885 and 889 is 786765.
LCM(885,889) = 786765
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 889. First we will calculate the prime factors of 885 and 889.
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 889
7 | 889 |
127 | 127 |
1 |
Prime factors of 889 are 7,127. Prime factorization of 889 in exponential form is:
889 = 71×1271
Now multiplying the highest exponent prime factors to calculate the LCM of 885 and 889.
LCM(885,889) = 31×51×71×591×1271
LCM(885,889) = 786765
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 889
List of positive integer factors of 889 that divides 889 without a remainder.
1, 7, 127, 889
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 885 and 889, than apply into the LCM equation.
GCF(885,889) = 1
LCM(885,889) = ( 885 × 889) / 1
LCM(885,889) = 786765 / 1
LCM(885,889) = 786765
(i) The LCM of 889 and 885 is associative
LCM of 885 and 889 = LCM of 889 and 885
1. What is the LCM of 885 and 889?
Answer: LCM of 885 and 889 is 786765.
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 889?
Answer: Factors of 889 are 1, 7, 127, 889. There are 4 integers that are factors of 889. The greatest factor of 889 is 889.
4. How to Find the LCM of 885 and 889?
Answer:
Least Common Multiple of 885 and 889 = 786765
Step 1: Find the prime factorization of 885
885 = 3 x 5 x 59
Step 2: Find the prime factorization of 889
889 = 7 x 127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 786765 = 3 x 5 x 7 x 59 x 127
Step 4: Therefore, the least common multiple of 885 and 889 is 786765.