Least Common Multiple of 8255 and 8259
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8255 and 8259 the smallest integer that is 68178045 that is divisible by both numbers.
Least Common Multiple (LCM) of 8255 and 8259 is 68178045.
LCM(8255,8259) = 68178045
LCM of 8255 and 8259
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8255 and 8259 by Prime method
- Least Common Multiple of 8255 and 8259 with GCF Formula
LCM of 8255 and 8259 is 68178045
Least common multiple can be found by multiplying the highest exponent prime factors of 8255 and 8259. First we will calculate the prime factors of 8255 and 8259.
Prime Factorization of 8255
| 5 | 8255 |
| 13 | 1651 |
| 127 | 127 |
| 1 |
Prime factors of 8255 are 5, 13,127. Prime factorization of 8255 in exponential form is:
8255 = 51×131×1271
Prime Factorization of 8259
| 3 | 8259 |
| 2753 | 2753 |
| 1 |
Prime factors of 8259 are 3,2753. Prime factorization of 8259 in exponential form is:
8259 = 31×27531
Now multiplying the highest exponent prime factors to calculate the LCM of 8255 and 8259.
LCM(8255,8259) = 31×51×131×1271×27531
LCM(8255,8259) = 68178045
Factors of 8255
List of positive integer factors of 8255 that divides 8255 without a remainder.
1, 5, 13, 65, 127, 635, 1651, 8255
Factors of 8259
List of positive integer factors of 8259 that divides 8259 without a remainder.
1, 3, 2753, 8259
Least Common Multiple of 8255 and 8259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8255 and 8259, than apply into the LCM equation.
GCF(8255,8259) = 1
LCM(8255,8259) = ( 8255 × 8259) / 1
LCM(8255,8259) = 68178045 / 1
LCM(8255,8259) = 68178045
Properties of LCM 8255 and 8259
(i) The LCM of 8259 and 8255 is associative
LCM of 8255 and 8259 = LCM of 8259 and 8255
Related Least Common Multiples of 8255
Related Least Common Multiples of 8259
Frequently Asked Questions on LCM of 8255 and 8259
1. What is the LCM of 8255 and 8259?
Answer: LCM of 8255 and 8259 is 68178045.
2. What are the Factors of 8255?
Answer: Factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255. There are 8 integers that are factors of 8255. The greatest factor of 8255 is 8255.
3. What are the Factors of 8259?
Answer: Factors of 8259 are 1, 3, 2753, 8259. There are 4 integers that are factors of 8259. The greatest factor of 8259 is 8259.
4. How to Find the LCM of 8255 and 8259?
Answer:
Least Common Multiple of 8255 and 8259 = 68178045
Step 1: Find the prime factorization of 8255
8255 = 5 x 13 x 127
Step 2: Find the prime factorization of 8259
8259 = 3 x 2753
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68178045 = 3 x 5 x 13 x 127 x 2753
Step 4: Therefore, the least common multiple of 8255 and 8259 is 68178045.