Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 884 and 887 the smallest integer that is 784108 that is divisible by both numbers.
Least Common Multiple (LCM) of 884 and 887 is 784108.
LCM(884,887) = 784108
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 884 and 887. First we will calculate the prime factors of 884 and 887.
Prime Factorization of 884
2 | 884 |
2 | 442 |
13 | 221 |
17 | 17 |
1 |
Prime factors of 884 are 2, 13,17. Prime factorization of 884 in exponential form is:
884 = 22×131×171
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 884 and 887.
LCM(884,887) = 22×131×171×8871
LCM(884,887) = 784108
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
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 884 and 887, than apply into the LCM equation.
GCF(884,887) = 1
LCM(884,887) = ( 884 × 887) / 1
LCM(884,887) = 784108 / 1
LCM(884,887) = 784108
(i) The LCM of 887 and 884 is associative
LCM of 884 and 887 = LCM of 887 and 884
1. What is the LCM of 884 and 887?
Answer: LCM of 884 and 887 is 784108.
2. What are the Factors of 884?
Answer: Factors of 884 are 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884. There are 12 integers that are factors of 884. The greatest factor of 884 is 884.
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 884 and 887?
Answer:
Least Common Multiple of 884 and 887 = 784108
Step 1: Find the prime factorization of 884
884 = 2 x 2 x 13 x 17
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 = 784108 = 2 x 2 x 13 x 17 x 887
Step 4: Therefore, the least common multiple of 884 and 887 is 784108.