Least Common Multiple of 1078 and 1083
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 1083 the smallest integer that is 1167474 that is divisible by both numbers.
Least Common Multiple (LCM) of 1078 and 1083 is 1167474.
LCM(1078,1083) = 1167474
LCM of 1078 and 1083
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1078 and 1083 by Prime method
- Least Common Multiple of 1078 and 1083 with GCF Formula
LCM of 1078 and 1083 is 1167474
Least common multiple can be found by multiplying the highest exponent prime factors of 1078 and 1083. First we will calculate the prime factors of 1078 and 1083.
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 1083
| 3 | 1083 |
| 19 | 361 |
| 19 | 19 |
| 1 |
Prime factors of 1083 are 3,19. Prime factorization of 1083 in exponential form is:
1083 = 31×192
Now multiplying the highest exponent prime factors to calculate the LCM of 1078 and 1083.
LCM(1078,1083) = 21×31×72×111×192
LCM(1078,1083) = 1167474
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 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1, 3, 19, 57, 361, 1083
Least Common Multiple of 1078 and 1083 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 1083, than apply into the LCM equation.
GCF(1078,1083) = 1
LCM(1078,1083) = ( 1078 × 1083) / 1
LCM(1078,1083) = 1167474 / 1
LCM(1078,1083) = 1167474
Properties of LCM 1078 and 1083
(i) The LCM of 1083 and 1078 is associative
LCM of 1078 and 1083 = LCM of 1083 and 1078
Related Least Common Multiples of 1078
Related Least Common Multiples of 1083
Frequently Asked Questions on LCM of 1078 and 1083
1. What is the LCM of 1078 and 1083?
Answer: LCM of 1078 and 1083 is 1167474.
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 1083?
Answer: Factors of 1083 are 1, 3, 19, 57, 361, 1083. There are 6 integers that are factors of 1083. The greatest factor of 1083 is 1083.
4. How to Find the LCM of 1078 and 1083?
Answer:
Least Common Multiple of 1078 and 1083 = 1167474
Step 1: Find the prime factorization of 1078
1078 = 2 x 7 x 7 x 11
Step 2: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1167474 = 2 x 3 x 7 x 7 x 11 x 19 x 19
Step 4: Therefore, the least common multiple of 1078 and 1083 is 1167474.