Least Common Multiple of 1078 and 1081
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1078 and 1081 the smallest integer that is 1165318 that is divisible by both numbers.
Least Common Multiple (LCM) of 1078 and 1081 is 1165318.
LCM(1078,1081) = 1165318
LCM of 1078 and 1081
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1078 and 1081 by Prime method
- Least Common Multiple of 1078 and 1081 with GCF Formula
LCM of 1078 and 1081 is 1165318
Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1081. First we will calculate the prime factors of 1078 and 1081.
Prime Factorization of 1078
| 2 | 1078 |
| 7 | 539 |
| 7 | 77 |
| 11 | 11 |
| 1 |
Prime factors of 1078 are 2, 7,11. Prime factorization of 1078 in exponential form is:
1078 = 21×72×111
Prime Factorization of 1081
| 23 | 1081 |
| 47 | 47 |
| 1 |
Prime factors of 1081 are 23,47. Prime factorization of 1081 in exponential form is:
1081 = 231×471
Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1081.
LCM(1078,1081) = 21×72×111×231×471
LCM(1078,1081) = 1165318
Factors of 1078
List of positive integer factors of 1078 that divides 1078 without a remainder.
1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078
Factors of 1081
List of positive integer factors of 1081 that divides 1081 without a remainder.
1, 23, 47, 1081
Least Common Multiple of 1078 and 1081 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1078 and 1081, than apply into the LCM equation.
GCF(1078,1081) = 1
LCM(1078,1081) = ( 1078 × 1081) / 1
LCM(1078,1081) = 1165318 / 1
LCM(1078,1081) = 1165318
Properties of LCM 1078 and 1081
(i) The LCM of 1081 and 1078 is associative
LCM of 1078 and 1081 = LCM of 1081 and 1078
Related Least Common Multiples of 1078
Related Least Common Multiples of 1081
Frequently Asked Questions on LCM of 1078 and 1081
1. What is the LCM of 1078 and 1081?
Answer: LCM of 1078 and 1081 is 1165318.
2. What are the Factors of 1078?
Answer: Factors of 1078 are 1, 2, 7, 11, 14, 22, 49, 77, 98, 154, 539, 1078. There are 12 integers that are factors of 1078. The greatest factor of 1078 is 1078.
3. What are the Factors of 1081?
Answer: Factors of 1081 are 1, 23, 47, 1081. There are 4 integers that are factors of 1081. The greatest factor of 1081 is 1081.
4. How to Find the LCM of 1078 and 1081?
Answer:
Least Common Multiple of 1078 and 1081 = 1165318
Step 1: Find the prime factorization of 1078
1078 = 2 x 7 x 7 x 11
Step 2: Find the prime factorization of 1081
1081 = 23 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1165318 = 2 x 7 x 7 x 11 x 23 x 47
Step 4: Therefore, the least common multiple of 1078 and 1081 is 1165318.