Least Common Multiple of 869 and 870
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 870 the smallest integer that is 756030 that is divisible by both numbers.
Least Common Multiple (LCM) of 869 and 870 is 756030.
LCM(869,870) = 756030
LCM of 869 and 870
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 869 and 870 by Prime method
- Least Common Multiple of 869 and 870 with GCF Formula
LCM of 869 and 870 is 756030
Least common multiple can be found by multiplying the highest exponent prime factors of 869 and 870. First we will calculate the prime factors of 869 and 870.
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 870
| 2 | 870 |
| 3 | 435 |
| 5 | 145 |
| 29 | 29 |
| 1 |
Prime factors of 870 are 2, 3, 5,29. Prime factorization of 870 in exponential form is:
870 = 21×31×51×291
Now multiplying the highest exponent prime factors to calculate the LCM of 869 and 870.
LCM(869,870) = 21×31×51×111×291×791
LCM(869,870) = 756030
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1, 11, 79, 869
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Least Common Multiple of 869 and 870 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 870, than apply into the LCM equation.
GCF(869,870) = 1
LCM(869,870) = ( 869 × 870) / 1
LCM(869,870) = 756030 / 1
LCM(869,870) = 756030
Properties of LCM 869 and 870
(i) The LCM of 870 and 869 is associative
LCM of 869 and 870 = LCM of 870 and 869
Related Least Common Multiples of 869
Related Least Common Multiples of 870
Frequently Asked Questions on LCM of 869 and 870
1. What is the LCM of 869 and 870?
Answer: LCM of 869 and 870 is 756030.
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 870?
Answer: Factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870. There are 16 integers that are factors of 870. The greatest factor of 870 is 870.
4. How to Find the LCM of 869 and 870?
Answer:
Least Common Multiple of 869 and 870 = 756030
Step 1: Find the prime factorization of 869
869 = 11 x 79
Step 2: Find the prime factorization of 870
870 = 2 x 3 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 756030 = 2 x 3 x 5 x 11 x 29 x 79
Step 4: Therefore, the least common multiple of 869 and 870 is 756030.
