Least Common Multiple of 882 and 889
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 889 the smallest integer that is 112014 that is divisible by both numbers.
Least Common Multiple (LCM) of 882 and 889 is 112014.
LCM(882,889) = 112014
LCM of 882 and 889
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 882 and 889 by Prime method
- Least Common Multiple of 882 and 889 with GCF Formula
LCM of 882 and 889 is 112014
Least common multiple can be found by multiplying the highest exponent prime factors of 882 and 889. First we will calculate the prime factors of 882 and 889.
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 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 882 and 889.
LCM(882,889) = 21×32×72×1271
LCM(882,889) = 112014
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 889
List of positive integer factors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Least Common Multiple of 882 and 889 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 889, than apply into the LCM equation.
GCF(882,889) = 7
LCM(882,889) = ( 882 × 889) / 7
LCM(882,889) = 784098 / 7
LCM(882,889) = 112014
Properties of LCM 882 and 889
(i) The LCM of 889 and 882 is associative
LCM of 882 and 889 = LCM of 889 and 882
Related Least Common Multiples of 882
Related Least Common Multiples of 889
Frequently Asked Questions on LCM of 882 and 889
1. What is the LCM of 882 and 889?
Answer: LCM of 882 and 889 is 112014.
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 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 882 and 889?
Answer:
Least Common Multiple of 882 and 889 = 112014
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 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 = 112014 = 2 x 3 x 3 x 7 x 7 x 127
Step 4: Therefore, the least common multiple of 882 and 889 is 112014.