Least Common Multiple of 3261 and 3265
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 3261 and 3265 the smallest integer that is 10647165 that is divisible by both numbers.
Least Common Multiple (LCM) of 3261 and 3265 is 10647165.
LCM(3261,3265) = 10647165
LCM of 3261 and 3265
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 3261 and 3265 by Prime method
- Least Common Multiple of 3261 and 3265 with GCF Formula
LCM of 3261 and 3265 is 10647165
Least common multiple can be found by multiplying the highest exponent prime factors of 3261 and 3265. First we will calculate the prime factors of 3261 and 3265.
Prime Factorization of 3261
| 3 | 3261 |
| 1087 | 1087 |
| 1 |
Prime factors of 3261 are 3,1087. Prime factorization of 3261 in exponential form is:
3261 = 31×10871
Prime Factorization of 3265
| 5 | 3265 |
| 653 | 653 |
| 1 |
Prime factors of 3265 are 5,653. Prime factorization of 3265 in exponential form is:
3265 = 51×6531
Now multiplying the highest exponent prime factors to calculate the LCM of 3261 and 3265.
LCM(3261,3265) = 31×51×6531×10871
LCM(3261,3265) = 10647165
Factors of 3261
List of positive integer factors of 3261 that divides 3261 without a remainder.
1, 3, 1087, 3261
Factors of 3265
List of positive integer factors of 3265 that divides 3265 without a remainder.
1, 5, 653, 3265
Least Common Multiple of 3261 and 3265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3261 and 3265, than apply into the LCM equation.
GCF(3261,3265) = 1
LCM(3261,3265) = ( 3261 × 3265) / 1
LCM(3261,3265) = 10647165 / 1
LCM(3261,3265) = 10647165
Properties of LCM 3261 and 3265
(i) The LCM of 3265 and 3261 is associative
LCM of 3261 and 3265 = LCM of 3265 and 3261
Related Least Common Multiples of 3261
Related Least Common Multiples of 3265
Frequently Asked Questions on LCM of 3261 and 3265
1. What is the LCM of 3261 and 3265?
Answer: LCM of 3261 and 3265 is 10647165.
2. What are the Factors of 3261?
Answer: Factors of 3261 are 1, 3, 1087, 3261. There are 4 integers that are factors of 3261. The greatest factor of 3261 is 3261.
3. What are the Factors of 3265?
Answer: Factors of 3265 are 1, 5, 653, 3265. There are 4 integers that are factors of 3265. The greatest factor of 3265 is 3265.
4. How to Find the LCM of 3261 and 3265?
Answer:
Least Common Multiple of 3261 and 3265 = 10647165
Step 1: Find the prime factorization of 3261
3261 = 3 x 1087
Step 2: Find the prime factorization of 3265
3265 = 5 x 653
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 10647165 = 3 x 5 x 653 x 1087
Step 4: Therefore, the least common multiple of 3261 and 3265 is 10647165.