Least Common Multiple of 858 and 865
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 858 and 865 the smallest integer that is 742170 that is divisible by both numbers.
Least Common Multiple (LCM) of 858 and 865 is 742170.
LCM(858,865) = 742170
LCM of 858 and 865
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 858 and 865 by Prime method
- Least Common Multiple of 858 and 865 with GCF Formula
LCM of 858 and 865 is 742170
Least common multiple can be found by multiplying the highest exponent prime factors of 858 and 865. First we will calculate the prime factors of 858 and 865.
Prime Factorization of 858
| 2 | 858 |
| 3 | 429 |
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 858 are 2, 3, 11,13. Prime factorization of 858 in exponential form is:
858 = 21×31×111×131
Prime Factorization of 865
| 5 | 865 |
| 173 | 173 |
| 1 |
Prime factors of 865 are 5,173. Prime factorization of 865 in exponential form is:
865 = 51×1731
Now multiplying the highest exponent prime factors to calculate the LCM of 858 and 865.
LCM(858,865) = 21×31×51×111×131×1731
LCM(858,865) = 742170
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1, 5, 173, 865
Least Common Multiple of 858 and 865 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 858 and 865, than apply into the LCM equation.
GCF(858,865) = 1
LCM(858,865) = ( 858 × 865) / 1
LCM(858,865) = 742170 / 1
LCM(858,865) = 742170
Properties of LCM 858 and 865
(i) The LCM of 865 and 858 is associative
LCM of 858 and 865 = LCM of 865 and 858
Related Least Common Multiples of 858
Related Least Common Multiples of 865
Frequently Asked Questions on LCM of 858 and 865
1. What is the LCM of 858 and 865?
Answer: LCM of 858 and 865 is 742170.
2. What are the Factors of 858?
Answer: Factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858. There are 16 integers that are factors of 858. The greatest factor of 858 is 858.
3. What are the Factors of 865?
Answer: Factors of 865 are 1, 5, 173, 865. There are 4 integers that are factors of 865. The greatest factor of 865 is 865.
4. How to Find the LCM of 858 and 865?
Answer:
Least Common Multiple of 858 and 865 = 742170
Step 1: Find the prime factorization of 858
858 = 2 x 3 x 11 x 13
Step 2: Find the prime factorization of 865
865 = 5 x 173
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 742170 = 2 x 3 x 5 x 11 x 13 x 173
Step 4: Therefore, the least common multiple of 858 and 865 is 742170.