Least Common Multiple of 1083 and 1087
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1083 and 1087 the smallest integer that is 1177221 that is divisible by both numbers.
Least Common Multiple (LCM) of 1083 and 1087 is 1177221.
LCM(1083,1087) = 1177221
LCM of 1083 and 1087
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1083 and 1087 by Prime method
- Least Common Multiple of 1083 and 1087 with GCF Formula
LCM of 1083 and 1087 is 1177221
Least common multiple can be found by multiplying the highest exponent prime factors of 1083 and 1087. First we will calculate the prime factors of 1083 and 1087.
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
Prime Factorization of 1087
| 1087 | 1087 |
| 1 |
Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:
1087 = 10871
Now multiplying the highest exponent prime factors to calculate the LCM of 1083 and 1087.
LCM(1083,1087) = 31×192×10871
LCM(1083,1087) = 1177221
Factors of 1083
List of positive integer factors of 1083 that divides 1083 without a remainder.
1, 3, 19, 57, 361, 1083
Factors of 1087
List of positive integer factors of 1087 that divides 1087 without a remainder.
1, 1087
Least Common Multiple of 1083 and 1087 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1083 and 1087, than apply into the LCM equation.
GCF(1083,1087) = 1
LCM(1083,1087) = ( 1083 × 1087) / 1
LCM(1083,1087) = 1177221 / 1
LCM(1083,1087) = 1177221
Properties of LCM 1083 and 1087
(i) The LCM of 1087 and 1083 is associative
LCM of 1083 and 1087 = LCM of 1087 and 1083
Related Least Common Multiples of 1083
Related Least Common Multiples of 1087
Frequently Asked Questions on LCM of 1083 and 1087
1. What is the LCM of 1083 and 1087?
Answer: LCM of 1083 and 1087 is 1177221.
2. 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.
3. What are the Factors of 1087?
Answer: Factors of 1087 are 1, 1087. There are 2 integers that are factors of 1087. The greatest factor of 1087 is 1087.
4. How to Find the LCM of 1083 and 1087?
Answer:
Least Common Multiple of 1083 and 1087 = 1177221
Step 1: Find the prime factorization of 1083
1083 = 3 x 19 x 19
Step 2: Find the prime factorization of 1087
1087 = 1087
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1177221 = 3 x 19 x 19 x 1087
Step 4: Therefore, the least common multiple of 1083 and 1087 is 1177221.