Least Common Multiple of 1278 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 1278 and 1281 the smallest integer that is 545706 that is divisible by both numbers.
Least Common Multiple (LCM) of 1278 and 1281 is 545706.
LCM(1278,1281) = 545706
LCM of 1278 and 1281
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1278 and 1281 by Prime method
- Least Common Multiple of 1278 and 1281 with GCF Formula
LCM of 1278 and 1281 is 545706
Least common multiple can be found by multiplying the highest exponent prime factors of 1278 and 1281. First we will calculate the prime factors of 1278 and 1281.
Prime Factorization of 1278
| 2 | 1278 |
| 3 | 639 |
| 3 | 213 |
| 71 | 71 |
| 1 |
Prime factors of 1278 are 2, 3,71. Prime factorization of 1278 in exponential form is:
1278 = 21×32×711
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 1278 and 1281.
LCM(1278,1281) = 21×32×71×611×711
LCM(1278,1281) = 545706
Factors of 1278
List of positive integer factors of 1278 that divides 1278 without a remainder.
1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278
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 1278 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 1278 and 1281, than apply into the LCM equation.
GCF(1278,1281) = 3
LCM(1278,1281) = ( 1278 × 1281) / 3
LCM(1278,1281) = 1637118 / 3
LCM(1278,1281) = 545706
Properties of LCM 1278 and 1281
(i) The LCM of 1281 and 1278 is associative
LCM of 1278 and 1281 = LCM of 1281 and 1278
Related Least Common Multiples of 1278
Related Least Common Multiples of 1281
Frequently Asked Questions on LCM of 1278 and 1281
1. What is the LCM of 1278 and 1281?
Answer: LCM of 1278 and 1281 is 545706.
2. What are the Factors of 1278?
Answer: Factors of 1278 are 1, 2, 3, 6, 9, 18, 71, 142, 213, 426, 639, 1278. There are 12 integers that are factors of 1278. The greatest factor of 1278 is 1278.
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 1278 and 1281?
Answer:
Least Common Multiple of 1278 and 1281 = 545706
Step 1: Find the prime factorization of 1278
1278 = 2 x 3 x 3 x 71
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 = 545706 = 2 x 3 x 3 x 7 x 61 x 71
Step 4: Therefore, the least common multiple of 1278 and 1281 is 545706.