Least Common Multiple of 882 and 887
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 882 and 887 the smallest integer that is 782334 that is divisible by both numbers.
Least Common Multiple (LCM) of 882 and 887 is 782334.
LCM(882,887) = 782334
LCM of 882 and 887
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 882 and 887 by Prime method
- Least Common Multiple of 882 and 887 with GCF Formula
LCM of 882 and 887 is 782334
Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 887. First we will calculate the prime factors of 882 and 887.
Prime Factorization of 882
| 2 | 882 |
| 3 | 441 |
| 3 | 147 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 882 are 2, 3,7. Prime factorization of 882 in exponential form is:
882 = 21×32×72
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 882 and 887.
LCM(882,887) = 21×32×72×8871
LCM(882,887) = 782334
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
Factors of 887
List of positive integer factors of 887 that divides 887 without a remainder.
1, 887
Least Common Multiple of 882 and 887 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 882 and 887, than apply into the LCM equation.
GCF(882,887) = 1
LCM(882,887) = ( 882 × 887) / 1
LCM(882,887) = 782334 / 1
LCM(882,887) = 782334
Properties of LCM 882 and 887
(i) The LCM of 887 and 882 is associative
LCM of 882 and 887 = LCM of 887 and 882
Related Least Common Multiples of 882
Related Least Common Multiples of 887
Frequently Asked Questions on LCM of 882 and 887
1. What is the LCM of 882 and 887?
Answer: LCM of 882 and 887 is 782334.
2. What are the Factors of 882?
Answer: Factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882. There are 18 integers that are factors of 882. The greatest factor of 882 is 882.
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 882 and 887?
Answer:
Least Common Multiple of 882 and 887 = 782334
Step 1: Find the prime factorization of 882
882 = 2 x 3 x 3 x 7 x 7
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 = 782334 = 2 x 3 x 3 x 7 x 7 x 887
Step 4: Therefore, the least common multiple of 882 and 887 is 782334.
