Least Common Multiple of 869 and 874
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 874 the smallest integer that is 759506 that is divisible by both numbers.
Least Common Multiple (LCM) of 869 and 874 is 759506.
LCM(869,874) = 759506
LCM of 869 and 874
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 869 and 874 by Prime method
- Least Common Multiple of 869 and 874 with GCF Formula
LCM of 869 and 874 is 759506
Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 874. First we will calculate the prime factors of 869 and 874.
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 874
| 2 | 874 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 874 are 2, 19,23. Prime factorization of 874 in exponential form is:
874 = 21×191×231
Now multiplying the highest exponent prime factors to calculate the LCM of 869 and 874.
LCM(869,874) = 21×111×191×231×791
LCM(869,874) = 759506
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1, 2, 19, 23, 38, 46, 437, 874
Least Common Multiple of 869 and 874 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 874, than apply into the LCM equation.
GCF(869,874) = 1
LCM(869,874) = ( 869 × 874) / 1
LCM(869,874) = 759506 / 1
LCM(869,874) = 759506
Properties of LCM 869 and 874
(i) The LCM of 874 and 869 is associative
LCM of 869 and 874 = LCM of 874 and 869
Related Least Common Multiples of 869
Related Least Common Multiples of 874
Frequently Asked Questions on LCM of 869 and 874
1. What is the LCM of 869 and 874?
Answer: LCM of 869 and 874 is 759506.
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 874?
Answer: Factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874. There are 8 integers that are factors of 874. The greatest factor of 874 is 874.
4. How to Find the LCM of 869 and 874?
Answer:
Least Common Multiple of 869 and 874 = 759506
Step 1: Find the prime factorization of 869
869 = 11 x 79
Step 2: Find the prime factorization of 874
874 = 2 x 19 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 759506 = 2 x 11 x 19 x 23 x 79
Step 4: Therefore, the least common multiple of 869 and 874 is 759506.