Least Common Multiple of 869 and 876
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 869 and 876 the smallest integer that is 761244 that is divisible by both numbers.
Least Common Multiple (LCM) of 869 and 876 is 761244.
LCM(869,876) = 761244
LCM of 869 and 876
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 869 and 876 by Prime method
- Least Common Multiple of 869 and 876 with GCF Formula
LCM of 869 and 876 is 761244
Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 876. First we will calculate the prime factors of 869 and 876.
Prime Factorization of 869
| 11 | 869 |
| 79 | 79 |
| 1 |
Prime factors of 869 are 11,79. Prime factorization of 869 in exponential form is:
869 = 111×791
Prime Factorization of 876
| 2 | 876 |
| 2 | 438 |
| 3 | 219 |
| 73 | 73 |
| 1 |
Prime factors of 876 are 2, 3,73. Prime factorization of 876 in exponential form is:
876 = 22×31×731
Now multiplying the highest exponent prime factors to calculate the LCM of 869 and 876.
LCM(869,876) = 22×31×111×731×791
LCM(869,876) = 761244
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Least Common Multiple of 869 and 876 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 869 and 876, than apply into the LCM equation.
GCF(869,876) = 1
LCM(869,876) = ( 869 × 876) / 1
LCM(869,876) = 761244 / 1
LCM(869,876) = 761244
Properties of LCM 869 and 876
(i) The LCM of 876 and 869 is associative
LCM of 869 and 876 = LCM of 876 and 869
Related Least Common Multiples of 869
Related Least Common Multiples of 876
Frequently Asked Questions on LCM of 869 and 876
1. What is the LCM of 869 and 876?
Answer: LCM of 869 and 876 is 761244.
2. What are the Factors of 869?
Answer: Factors of 869 are 1, 11, 79, 869. There are 4 integers that are factors of 869. The greatest factor of 869 is 869.
3. What are the Factors of 876?
Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.
4. How to Find the LCM of 869 and 876?
Answer:
Least Common Multiple of 869 and 876 = 761244
Step 1: Find the prime factorization of 869
869 = 11 x 79
Step 2: Find the prime factorization of 876
876 = 2 x 2 x 3 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 761244 = 2 x 2 x 3 x 11 x 73 x 79
Step 4: Therefore, the least common multiple of 869 and 876 is 761244.