Least Common Multiple of 1092 and 1099
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1092 and 1099 the smallest integer that is 171444 that is divisible by both numbers.
Least Common Multiple (LCM) of 1092 and 1099 is 171444.
LCM(1092,1099) = 171444
LCM of 1092 and 1099
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1092 and 1099 by Prime method
- Least Common Multiple of 1092 and 1099 with GCF Formula
LCM of 1092 and 1099 is 171444
Least common multiple can be found by multiplying the highest exponent prime factors of 1092 and 1099. First we will calculate the prime factors of 1092 and 1099.
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
Prime Factorization of 1099
| 7 | 1099 |
| 157 | 157 |
| 1 |
Prime factors of 1099 are 7,157. Prime factorization of 1099 in exponential form is:
1099 = 71×1571
Now multiplying the highest exponent prime factors to calculate the LCM of 1092 and 1099.
LCM(1092,1099) = 22×31×71×131×1571
LCM(1092,1099) = 171444
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
Factors of 1099
List of positive integer factors of 1099 that divides 1099 without a remainder.
1, 7, 157, 1099
Least Common Multiple of 1092 and 1099 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1092 and 1099, than apply into the LCM equation.
GCF(1092,1099) = 7
LCM(1092,1099) = ( 1092 × 1099) / 7
LCM(1092,1099) = 1200108 / 7
LCM(1092,1099) = 171444
Properties of LCM 1092 and 1099
(i) The LCM of 1099 and 1092 is associative
LCM of 1092 and 1099 = LCM of 1099 and 1092
Related Least Common Multiples of 1092
Related Least Common Multiples of 1099
Frequently Asked Questions on LCM of 1092 and 1099
1. What is the LCM of 1092 and 1099?
Answer: LCM of 1092 and 1099 is 171444.
2. 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.
3. What are the Factors of 1099?
Answer: Factors of 1099 are 1, 7, 157, 1099. There are 4 integers that are factors of 1099. The greatest factor of 1099 is 1099.
4. How to Find the LCM of 1092 and 1099?
Answer:
Least Common Multiple of 1092 and 1099 = 171444
Step 1: Find the prime factorization of 1092
1092 = 2 x 2 x 3 x 7 x 13
Step 2: Find the prime factorization of 1099
1099 = 7 x 157
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 171444 = 2 x 2 x 3 x 7 x 13 x 157
Step 4: Therefore, the least common multiple of 1092 and 1099 is 171444.