Least Common Multiple of 8253 and 8261
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 8261 the smallest integer that is 68178033 that is divisible by both numbers.
Least Common Multiple (LCM) of 8253 and 8261 is 68178033.
LCM(8253,8261) = 68178033
LCM of 8253 and 8261
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8253 and 8261 by Prime method
- Least Common Multiple of 8253 and 8261 with GCF Formula
LCM of 8253 and 8261 is 68178033
Least common multiple can be found by multiplying the highest exponent prime factors of 8253 and 8261. First we will calculate the prime factors of 8253 and 8261.
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 8261
| 11 | 8261 |
| 751 | 751 |
| 1 |
Prime factors of 8261 are 11,751. Prime factorization of 8261 in exponential form is:
8261 = 111×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 8253 and 8261.
LCM(8253,8261) = 32×71×111×1311×7511
LCM(8253,8261) = 68178033
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 8261
List of positive integer factors of 8261 that divides 8261 without a remainder.
1, 11, 751, 8261
Least Common Multiple of 8253 and 8261 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 8261, than apply into the LCM equation.
GCF(8253,8261) = 1
LCM(8253,8261) = ( 8253 × 8261) / 1
LCM(8253,8261) = 68178033 / 1
LCM(8253,8261) = 68178033
Properties of LCM 8253 and 8261
(i) The LCM of 8261 and 8253 is associative
LCM of 8253 and 8261 = LCM of 8261 and 8253
Related Least Common Multiples of 8253
Related Least Common Multiples of 8261
Frequently Asked Questions on LCM of 8253 and 8261
1. What is the LCM of 8253 and 8261?
Answer: LCM of 8253 and 8261 is 68178033.
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 8261?
Answer: Factors of 8261 are 1, 11, 751, 8261. There are 4 integers that are factors of 8261. The greatest factor of 8261 is 8261.
4. How to Find the LCM of 8253 and 8261?
Answer:
Least Common Multiple of 8253 and 8261 = 68178033
Step 1: Find the prime factorization of 8253
8253 = 3 x 3 x 7 x 131
Step 2: Find the prime factorization of 8261
8261 = 11 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68178033 = 3 x 3 x 7 x 11 x 131 x 751
Step 4: Therefore, the least common multiple of 8253 and 8261 is 68178033.