Least Common Multiple of 1055 and 1062
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1055 and 1062 the smallest integer that is 1120410 that is divisible by both numbers.
Least Common Multiple (LCM) of 1055 and 1062 is 1120410.
LCM(1055,1062) = 1120410
LCM of 1055 and 1062
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 1055 and 1062 by Prime method
- Least Common Multiple of 1055 and 1062 with GCF Formula
LCM of 1055 and 1062 is 1120410
Least common multiple can be found by multiplying the highest exponent prime factors of 1055 and 1062. First we will calculate the prime factors of 1055 and 1062.
Prime Factorization of 1055
| 5 | 1055 |
| 211 | 211 |
| 1 |
Prime factors of 1055 are 5,211. Prime factorization of 1055 in exponential form is:
1055 = 51×2111
Prime Factorization of 1062
| 2 | 1062 |
| 3 | 531 |
| 3 | 177 |
| 59 | 59 |
| 1 |
Prime factors of 1062 are 2, 3,59. Prime factorization of 1062 in exponential form is:
1062 = 21×32×591
Now multiplying the highest exponent prime factors to calculate the LCM of 1055 and 1062.
LCM(1055,1062) = 21×32×51×591×2111
LCM(1055,1062) = 1120410
Factors of 1055
List of positive integer factors of 1055 that divides 1055 without a remainder.
1, 5, 211, 1055
Factors of 1062
List of positive integer factors of 1062 that divides 1062 without a remainder.
1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062
Least Common Multiple of 1055 and 1062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1055 and 1062, than apply into the LCM equation.
GCF(1055,1062) = 1
LCM(1055,1062) = ( 1055 × 1062) / 1
LCM(1055,1062) = 1120410 / 1
LCM(1055,1062) = 1120410
Properties of LCM 1055 and 1062
(i) The LCM of 1062 and 1055 is associative
LCM of 1055 and 1062 = LCM of 1062 and 1055
Related Least Common Multiples of 1055
Related Least Common Multiples of 1062
Frequently Asked Questions on LCM of 1055 and 1062
1. What is the LCM of 1055 and 1062?
Answer: LCM of 1055 and 1062 is 1120410.
2. What are the Factors of 1055?
Answer: Factors of 1055 are 1, 5, 211, 1055. There are 4 integers that are factors of 1055. The greatest factor of 1055 is 1055.
3. What are the Factors of 1062?
Answer: Factors of 1062 are 1, 2, 3, 6, 9, 18, 59, 118, 177, 354, 531, 1062. There are 12 integers that are factors of 1062. The greatest factor of 1062 is 1062.
4. How to Find the LCM of 1055 and 1062?
Answer:
Least Common Multiple of 1055 and 1062 = 1120410
Step 1: Find the prime factorization of 1055
1055 = 5 x 211
Step 2: Find the prime factorization of 1062
1062 = 2 x 3 x 3 x 59
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 1120410 = 2 x 3 x 3 x 5 x 59 x 211
Step 4: Therefore, the least common multiple of 1055 and 1062 is 1120410.
