Least Common Multiple of 11051 and 11055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 11051 and 11055 the smallest integer that is 122168805 that is divisible by both numbers.
Least Common Multiple (LCM) of 11051 and 11055 is 122168805.
LCM(11051,11055) = 122168805
LCM of 11051 and 11055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 11051 and 11055 by Prime method
- Least Common Multiple of 11051 and 11055 with GCF Formula
LCM of 11051 and 11055 is 122168805
Least common multiple can be found by multiplying the highest exponent prime factors of 11051 and 11055. First we will calculate the prime factors of 11051 and 11055.
Prime Factorization of 11051
| 43 | 11051 |
| 257 | 257 |
| 1 |
Prime factors of 11051 are 43,257. Prime factorization of 11051 in exponential form is:
11051 = 431×2571
Prime Factorization of 11055
| 3 | 11055 |
| 5 | 3685 |
| 11 | 737 |
| 67 | 67 |
| 1 |
Prime factors of 11055 are 3, 5, 11,67. Prime factorization of 11055 in exponential form is:
11055 = 31×51×111×671
Now multiplying the highest exponent prime factors to calculate the LCM of 11051 and 11055.
LCM(11051,11055) = 31×51×111×431×671×2571
LCM(11051,11055) = 122168805
Factors of 11051
List of positive integer factors of 11051 that divides 11051 without a remainder.
1, 43, 257, 11051
Factors of 11055
List of positive integer factors of 11055 that divides 11055 without a remainder.
1, 3, 5, 11, 15, 33, 55, 67, 165, 201, 335, 737, 1005, 2211, 3685, 11055
Least Common Multiple of 11051 and 11055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11051 and 11055, than apply into the LCM equation.
GCF(11051,11055) = 1
LCM(11051,11055) = ( 11051 × 11055) / 1
LCM(11051,11055) = 122168805 / 1
LCM(11051,11055) = 122168805
Properties of LCM 11051 and 11055
(i) The LCM of 11055 and 11051 is associative
LCM of 11051 and 11055 = LCM of 11055 and 11051
Related Least Common Multiples of 11051
Related Least Common Multiples of 11055
Frequently Asked Questions on LCM of 11051 and 11055
1. What is the LCM of 11051 and 11055?
Answer: LCM of 11051 and 11055 is 122168805.
2. What are the Factors of 11051?
Answer: Factors of 11051 are 1, 43, 257, 11051. There are 4 integers that are factors of 11051. The greatest factor of 11051 is 11051.
3. What are the Factors of 11055?
Answer: Factors of 11055 are 1, 3, 5, 11, 15, 33, 55, 67, 165, 201, 335, 737, 1005, 2211, 3685, 11055. There are 16 integers that are factors of 11055. The greatest factor of 11055 is 11055.
4. How to Find the LCM of 11051 and 11055?
Answer:
Least Common Multiple of 11051 and 11055 = 122168805
Step 1: Find the prime factorization of 11051
11051 = 43 x 257
Step 2: Find the prime factorization of 11055
11055 = 3 x 5 x 11 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 122168805 = 3 x 5 x 11 x 43 x 67 x 257
Step 4: Therefore, the least common multiple of 11051 and 11055 is 122168805.