Least Common Multiple of 1261 and 1265
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1261 and 1265 the smallest integer that is 1595165 that is divisible by both numbers.
Least Common Multiple (LCM) of 1261 and 1265 is 1595165.
LCM(1261,1265) = 1595165
LCM of 1261 and 1265
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1261 and 1265 by Prime method
- Least Common Multiple of 1261 and 1265 with GCF Formula
LCM of 1261 and 1265 is 1595165
Least common multiple can be found by multiplying the highest exponent prime factors of 1261 and 1265. First we will calculate the prime factors of 1261 and 1265.
Prime Factorization of 1261
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 1261 are 13,97. Prime factorization of 1261 in exponential form is:
1261 = 131×971
Prime Factorization of 1265
| 5 | 1265 |
| 11 | 253 |
| 23 | 23 |
| 1 |
Prime factors of 1265 are 5, 11,23. Prime factorization of 1265 in exponential form is:
1265 = 51×111×231
Now multiplying the highest exponent prime factors to calculate the LCM of 1261 and 1265.
LCM(1261,1265) = 51×111×131×231×971
LCM(1261,1265) = 1595165
Factors of 1261
List of positive integer factors of 1261 that divides 1261 without a remainder.
1, 13, 97, 1261
Factors of 1265
List of positive integer factors of 1265 that divides 1265 without a remainder.
1, 5, 11, 23, 55, 115, 253, 1265
Least Common Multiple of 1261 and 1265 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1261 and 1265, than apply into the LCM equation.
GCF(1261,1265) = 1
LCM(1261,1265) = ( 1261 × 1265) / 1
LCM(1261,1265) = 1595165 / 1
LCM(1261,1265) = 1595165
Properties of LCM 1261 and 1265
(i) The LCM of 1265 and 1261 is associative
LCM of 1261 and 1265 = LCM of 1265 and 1261
Related Least Common Multiples of 1261
Related Least Common Multiples of 1265
Frequently Asked Questions on LCM of 1261 and 1265
1. What is the LCM of 1261 and 1265?
Answer: LCM of 1261 and 1265 is 1595165.
2. What are the Factors of 1261?
Answer: Factors of 1261 are 1, 13, 97, 1261. There are 4 integers that are factors of 1261. The greatest factor of 1261 is 1261.
3. What are the Factors of 1265?
Answer: Factors of 1265 are 1, 5, 11, 23, 55, 115, 253, 1265. There are 8 integers that are factors of 1265. The greatest factor of 1265 is 1265.
4. How to Find the LCM of 1261 and 1265?
Answer:
Least Common Multiple of 1261 and 1265 = 1595165
Step 1: Find the prime factorization of 1261
1261 = 13 x 97
Step 2: Find the prime factorization of 1265
1265 = 5 x 11 x 23
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1595165 = 5 x 11 x 13 x 23 x 97
Step 4: Therefore, the least common multiple of 1261 and 1265 is 1595165.