Least Common Multiple of 1273 and 1281
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1273 and 1281 the smallest integer that is 1630713 that is divisible by both numbers.
Least Common Multiple (LCM) of 1273 and 1281 is 1630713.
LCM(1273,1281) = 1630713
LCM of 1273 and 1281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1273 and 1281 by Prime method
- Least Common Multiple of 1273 and 1281 with GCF Formula
LCM of 1273 and 1281 is 1630713
Least common multiple can be found by multiplying the highest exponent prime factors of 1273 and 1281. First we will calculate the prime factors of 1273 and 1281.
Prime Factorization of 1273
| 19 | 1273 |
| 67 | 67 |
| 1 |
Prime factors of 1273 are 19,67. Prime factorization of 1273 in exponential form is:
1273 = 191×671
Prime Factorization of 1281
| 3 | 1281 |
| 7 | 427 |
| 61 | 61 |
| 1 |
Prime factors of 1281 are 3, 7,61. Prime factorization of 1281 in exponential form is:
1281 = 31×71×611
Now multiplying the highest exponent prime factors to calculate the LCM of 1273 and 1281.
LCM(1273,1281) = 31×71×191×611×671
LCM(1273,1281) = 1630713
Factors of 1273
List of positive integer factors of 1273 that divides 1273 without a remainder.
1, 19, 67, 1273
Factors of 1281
List of positive integer factors of 1281 that divides 1281 without a remainder.
1, 3, 7, 21, 61, 183, 427, 1281
Least Common Multiple of 1273 and 1281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1273 and 1281, than apply into the LCM equation.
GCF(1273,1281) = 1
LCM(1273,1281) = ( 1273 × 1281) / 1
LCM(1273,1281) = 1630713 / 1
LCM(1273,1281) = 1630713
Properties of LCM 1273 and 1281
(i) The LCM of 1281 and 1273 is associative
LCM of 1273 and 1281 = LCM of 1281 and 1273
Related Least Common Multiples of 1273
Related Least Common Multiples of 1281
Frequently Asked Questions on LCM of 1273 and 1281
1. What is the LCM of 1273 and 1281?
Answer: LCM of 1273 and 1281 is 1630713.
2. What are the Factors of 1273?
Answer: Factors of 1273 are 1, 19, 67, 1273. There are 4 integers that are factors of 1273. The greatest factor of 1273 is 1273.
3. What are the Factors of 1281?
Answer: Factors of 1281 are 1, 3, 7, 21, 61, 183, 427, 1281. There are 8 integers that are factors of 1281. The greatest factor of 1281 is 1281.
4. How to Find the LCM of 1273 and 1281?
Answer:
Least Common Multiple of 1273 and 1281 = 1630713
Step 1: Find the prime factorization of 1273
1273 = 19 x 67
Step 2: Find the prime factorization of 1281
1281 = 3 x 7 x 61
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1630713 = 3 x 7 x 19 x 61 x 67
Step 4: Therefore, the least common multiple of 1273 and 1281 is 1630713.