Least Common Multiple of 1087 and 1092
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1087 and 1092 the smallest integer that is 1187004 that is divisible by both numbers.
Least Common Multiple (LCM) of 1087 and 1092 is 1187004.
LCM(1087,1092) = 1187004
LCM of 1087 and 1092
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1087 and 1092 by Prime method
- Least Common Multiple of 1087 and 1092 with GCF Formula
LCM of 1087 and 1092 is 1187004
Least common multiple can be found by multiplying the highest exponent prime factors of 1087 and 1092. First we will calculate the prime factors of 1087 and 1092.
Prime Factorization of 1087
| 1087 | 1087 |
| 1 |
Prime factors of 1087 are 1087. Prime factorization of 1087 in exponential form is:
1087 = 10871
Prime Factorization of 1092
| 2 | 1092 |
| 2 | 546 |
| 3 | 273 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 1092 are 2, 3, 7,13. Prime factorization of 1092 in exponential form is:
1092 = 22×31×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 1087 and 1092.
LCM(1087,1092) = 22×31×71×131×10871
LCM(1087,1092) = 1187004
Factors of 1087
List of positive integer factors of 1087 that divides 1087 without a remainder.
1, 1087
Factors of 1092
List of positive integer factors of 1092 that divides 1092 without a remainder.
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092
Least Common Multiple of 1087 and 1092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1087 and 1092, than apply into the LCM equation.
GCF(1087,1092) = 1
LCM(1087,1092) = ( 1087 × 1092) / 1
LCM(1087,1092) = 1187004 / 1
LCM(1087,1092) = 1187004
Properties of LCM 1087 and 1092
(i) The LCM of 1092 and 1087 is associative
LCM of 1087 and 1092 = LCM of 1092 and 1087
Related Least Common Multiples of 1087
Related Least Common Multiples of 1092
Frequently Asked Questions on LCM of 1087 and 1092
1. What is the LCM of 1087 and 1092?
Answer: LCM of 1087 and 1092 is 1187004.
2. 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.
3. What are the Factors of 1092?
Answer: Factors of 1092 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 78, 84, 91, 156, 182, 273, 364, 546, 1092. There are 24 integers that are factors of 1092. The greatest factor of 1092 is 1092.
4. How to Find the LCM of 1087 and 1092?
Answer:
Least Common Multiple of 1087 and 1092 = 1187004
Step 1: Find the prime factorization of 1087
1087 = 1087
Step 2: Find the prime factorization of 1092
1092 = 2 x 2 x 3 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1187004 = 2 x 2 x 3 x 7 x 13 x 1087
Step 4: Therefore, the least common multiple of 1087 and 1092 is 1187004.