Least Common Multiple of 877 and 882
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 877 and 882 the smallest integer that is 773514 that is divisible by both numbers.
Least Common Multiple (LCM) of 877 and 882 is 773514.
LCM(877,882) = 773514
LCM of 877 and 882
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 877 and 882 by Prime method
- Least Common Multiple of 877 and 882 with GCF Formula
LCM of 877 and 882 is 773514
Least common multiple can be found by multiplying the highest exponent prime factors of 877 and 882. First we will calculate the prime factors of 877 and 882.
Prime Factorization of 877
| 877 | 877 |
| 1 |
Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:
877 = 8771
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
Now multiplying the highest exponent prime factors to calculate the LCM of 877 and 882.
LCM(877,882) = 21×32×72×8771
LCM(877,882) = 773514
Factors of 877
List of positive integer factors of 877 that divides 877 without a remainder.
1, 877
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
Least Common Multiple of 877 and 882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 877 and 882, than apply into the LCM equation.
GCF(877,882) = 1
LCM(877,882) = ( 877 × 882) / 1
LCM(877,882) = 773514 / 1
LCM(877,882) = 773514
Properties of LCM 877 and 882
(i) The LCM of 882 and 877 is associative
LCM of 877 and 882 = LCM of 882 and 877
Related Least Common Multiples of 877
Related Least Common Multiples of 882
Frequently Asked Questions on LCM of 877 and 882
1. What is the LCM of 877 and 882?
Answer: LCM of 877 and 882 is 773514.
2. What are the Factors of 877?
Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.
3. 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.
4. How to Find the LCM of 877 and 882?
Answer:
Least Common Multiple of 877 and 882 = 773514
Step 1: Find the prime factorization of 877
877 = 877
Step 2: Find the prime factorization of 882
882 = 2 x 3 x 3 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 773514 = 2 x 3 x 3 x 7 x 7 x 877
Step 4: Therefore, the least common multiple of 877 and 882 is 773514.