Least Common Multiple of 1253 and 1261
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1253 and 1261 the smallest integer that is 1580033 that is divisible by both numbers.
Least Common Multiple (LCM) of 1253 and 1261 is 1580033.
LCM(1253,1261) = 1580033
LCM of 1253 and 1261
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1253 and 1261 by Prime method
- Least Common Multiple of 1253 and 1261 with GCF Formula
LCM of 1253 and 1261 is 1580033
Least common multiple can be found by multiplying the highest exponent prime factors of 1253 and 1261. First we will calculate the prime factors of 1253 and 1261.
Prime Factorization of 1253
| 7 | 1253 |
| 179 | 179 |
| 1 |
Prime factors of 1253 are 7,179. Prime factorization of 1253 in exponential form is:
1253 = 71×1791
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
Now multiplying the highest exponent prime factors to calculate the LCM of 1253 and 1261.
LCM(1253,1261) = 71×131×971×1791
LCM(1253,1261) = 1580033
Factors of 1253
List of positive integer factors of 1253 that divides 1253 without a remainder.
1, 7, 179, 1253
Factors of 1261
List of positive integer factors of 1261 that divides 1261 without a remainder.
1, 13, 97, 1261
Least Common Multiple of 1253 and 1261 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1253 and 1261, than apply into the LCM equation.
GCF(1253,1261) = 1
LCM(1253,1261) = ( 1253 × 1261) / 1
LCM(1253,1261) = 1580033 / 1
LCM(1253,1261) = 1580033
Properties of LCM 1253 and 1261
(i) The LCM of 1261 and 1253 is associative
LCM of 1253 and 1261 = LCM of 1261 and 1253
Related Least Common Multiples of 1253
Related Least Common Multiples of 1261
Frequently Asked Questions on LCM of 1253 and 1261
1. What is the LCM of 1253 and 1261?
Answer: LCM of 1253 and 1261 is 1580033.
2. What are the Factors of 1253?
Answer: Factors of 1253 are 1, 7, 179, 1253. There are 4 integers that are factors of 1253. The greatest factor of 1253 is 1253.
3. 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.
4. How to Find the LCM of 1253 and 1261?
Answer:
Least Common Multiple of 1253 and 1261 = 1580033
Step 1: Find the prime factorization of 1253
1253 = 7 x 179
Step 2: Find the prime factorization of 1261
1261 = 13 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1580033 = 7 x 13 x 97 x 179
Step 4: Therefore, the least common multiple of 1253 and 1261 is 1580033.