Least Common Multiple of 867 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 867 and 874 the smallest integer that is 757758 that is divisible by both numbers.
Least Common Multiple (LCM) of 867 and 874 is 757758.
LCM(867,874) = 757758
LCM of 867 and 874
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 867 and 874 by Prime method
- Least Common Multiple of 867 and 874 with GCF Formula
LCM of 867 and 874 is 757758
Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 874. First we will calculate the prime factors of 867 and 874.
Prime Factorization of 867
| 3 | 867 |
| 17 | 289 |
| 17 | 17 |
| 1 |
Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:
867 = 31×172
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 867 and 874.
LCM(867,874) = 21×31×172×191×231
LCM(867,874) = 757758
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
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 867 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 867 and 874, than apply into the LCM equation.
GCF(867,874) = 1
LCM(867,874) = ( 867 × 874) / 1
LCM(867,874) = 757758 / 1
LCM(867,874) = 757758
Properties of LCM 867 and 874
(i) The LCM of 874 and 867 is associative
LCM of 867 and 874 = LCM of 874 and 867
Related Least Common Multiples of 867
Related Least Common Multiples of 874
Frequently Asked Questions on LCM of 867 and 874
1. What is the LCM of 867 and 874?
Answer: LCM of 867 and 874 is 757758.
2. What are the Factors of 867?
Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.
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 867 and 874?
Answer:
Least Common Multiple of 867 and 874 = 757758
Step 1: Find the prime factorization of 867
867 = 3 x 17 x 17
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 = 757758 = 2 x 3 x 17 x 17 x 19 x 23
Step 4: Therefore, the least common multiple of 867 and 874 is 757758.