Least Common Multiple of 8253 and 8257
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8253 and 8257 the smallest integer that is 68145021 that is divisible by both numbers.
Least Common Multiple (LCM) of 8253 and 8257 is 68145021.
LCM(8253,8257) = 68145021
LCM of 8253 and 8257
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8253 and 8257 by Prime method
- Least Common Multiple of 8253 and 8257 with GCF Formula
LCM of 8253 and 8257 is 68145021
Least common multiple can be found by multiplying the highest exponent prime factors of 8253 and 8257. First we will calculate the prime factors of 8253 and 8257.
Prime Factorization of 8253
| 3 | 8253 |
| 3 | 2751 |
| 7 | 917 |
| 131 | 131 |
| 1 |
Prime factors of 8253 are 3, 7,131. Prime factorization of 8253 in exponential form is:
8253 = 32×71×1311
Prime Factorization of 8257
| 23 | 8257 |
| 359 | 359 |
| 1 |
Prime factors of 8257 are 23,359. Prime factorization of 8257 in exponential form is:
8257 = 231×3591
Now multiplying the highest exponent prime factors to calculate the LCM of 8253 and 8257.
LCM(8253,8257) = 32×71×231×1311×3591
LCM(8253,8257) = 68145021
Factors of 8253
List of positive integer factors of 8253 that divides 8253 without a remainder.
1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253
Factors of 8257
List of positive integer factors of 8257 that divides 8257 without a remainder.
1, 23, 359, 8257
Least Common Multiple of 8253 and 8257 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8253 and 8257, than apply into the LCM equation.
GCF(8253,8257) = 1
LCM(8253,8257) = ( 8253 × 8257) / 1
LCM(8253,8257) = 68145021 / 1
LCM(8253,8257) = 68145021
Properties of LCM 8253 and 8257
(i) The LCM of 8257 and 8253 is associative
LCM of 8253 and 8257 = LCM of 8257 and 8253
Related Least Common Multiples of 8253
Related Least Common Multiples of 8257
Frequently Asked Questions on LCM of 8253 and 8257
1. What is the LCM of 8253 and 8257?
Answer: LCM of 8253 and 8257 is 68145021.
2. What are the Factors of 8253?
Answer: Factors of 8253 are 1, 3, 7, 9, 21, 63, 131, 393, 917, 1179, 2751, 8253. There are 12 integers that are factors of 8253. The greatest factor of 8253 is 8253.
3. What are the Factors of 8257?
Answer: Factors of 8257 are 1, 23, 359, 8257. There are 4 integers that are factors of 8257. The greatest factor of 8257 is 8257.
4. How to Find the LCM of 8253 and 8257?
Answer:
Least Common Multiple of 8253 and 8257 = 68145021
Step 1: Find the prime factorization of 8253
8253 = 3 x 3 x 7 x 131
Step 2: Find the prime factorization of 8257
8257 = 23 x 359
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68145021 = 3 x 3 x 7 x 23 x 131 x 359
Step 4: Therefore, the least common multiple of 8253 and 8257 is 68145021.