Least Common Multiple of 1254 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 1254 and 1261 the smallest integer that is 1581294 that is divisible by both numbers.
Least Common Multiple (LCM) of 1254 and 1261 is 1581294.
LCM(1254,1261) = 1581294
LCM of 1254 and 1261
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1254 and 1261 by Prime method
- Least Common Multiple of 1254 and 1261 with GCF Formula
LCM of 1254 and 1261 is 1581294
Least common multiple can be found by multiplying the highest exponent prime factors of 1254 and 1261. First we will calculate the prime factors of 1254 and 1261.
Prime Factorization of 1254
| 2 | 1254 |
| 3 | 627 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 1254 are 2, 3, 11,19. Prime factorization of 1254 in exponential form is:
1254 = 21×31×111×191
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 1254 and 1261.
LCM(1254,1261) = 21×31×111×131×191×971
LCM(1254,1261) = 1581294
Factors of 1254
List of positive integer factors of 1254 that divides 1254 without a remainder.
1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254
Factors of 1261
List of positive integer factors of 1261 that divides 1261 without a remainder.
1, 13, 97, 1261
Least Common Multiple of 1254 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 1254 and 1261, than apply into the LCM equation.
GCF(1254,1261) = 1
LCM(1254,1261) = ( 1254 × 1261) / 1
LCM(1254,1261) = 1581294 / 1
LCM(1254,1261) = 1581294
Properties of LCM 1254 and 1261
(i) The LCM of 1261 and 1254 is associative
LCM of 1254 and 1261 = LCM of 1261 and 1254
Related Least Common Multiples of 1254
Related Least Common Multiples of 1261
Frequently Asked Questions on LCM of 1254 and 1261
1. What is the LCM of 1254 and 1261?
Answer: LCM of 1254 and 1261 is 1581294.
2. What are the Factors of 1254?
Answer: Factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254. There are 16 integers that are factors of 1254. The greatest factor of 1254 is 1254.
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 1254 and 1261?
Answer:
Least Common Multiple of 1254 and 1261 = 1581294
Step 1: Find the prime factorization of 1254
1254 = 2 x 3 x 11 x 19
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 = 1581294 = 2 x 3 x 11 x 13 x 19 x 97
Step 4: Therefore, the least common multiple of 1254 and 1261 is 1581294.