Least Common Multiple of 10055 and 10059
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10055 and 10059 the smallest integer that is 101143245 that is divisible by both numbers.
Least Common Multiple (LCM) of 10055 and 10059 is 101143245.
LCM(10055,10059) = 101143245
LCM of 10055 and 10059
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10055 and 10059 by Prime method
- Least Common Multiple of 10055 and 10059 with GCF Formula
LCM of 10055 and 10059 is 101143245
Least common multiple can be found by multiplying the highest exponent prime factors of 10055 and 10059. First we will calculate the prime factors of 10055 and 10059.
Prime Factorization of 10055
| 5 | 10055 |
| 2011 | 2011 |
| 1 |
Prime factors of 10055 are 5,2011. Prime factorization of 10055 in exponential form is:
10055 = 51×20111
Prime Factorization of 10059
| 3 | 10059 |
| 7 | 3353 |
| 479 | 479 |
| 1 |
Prime factors of 10059 are 3, 7,479. Prime factorization of 10059 in exponential form is:
10059 = 31×71×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 10055 and 10059.
LCM(10055,10059) = 31×51×71×4791×20111
LCM(10055,10059) = 101143245
Factors of 10055
List of positive integer factors of 10055 that divides 10055 without a remainder.
1, 5, 2011, 10055
Factors of 10059
List of positive integer factors of 10059 that divides 10059 without a remainder.
1, 3, 7, 21, 479, 1437, 3353, 10059
Least Common Multiple of 10055 and 10059 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10055 and 10059, than apply into the LCM equation.
GCF(10055,10059) = 1
LCM(10055,10059) = ( 10055 × 10059) / 1
LCM(10055,10059) = 101143245 / 1
LCM(10055,10059) = 101143245
Properties of LCM 10055 and 10059
(i) The LCM of 10059 and 10055 is associative
LCM of 10055 and 10059 = LCM of 10059 and 10055
Related Least Common Multiples of 10055
Related Least Common Multiples of 10059
Frequently Asked Questions on LCM of 10055 and 10059
1. What is the LCM of 10055 and 10059?
Answer: LCM of 10055 and 10059 is 101143245.
2. What are the Factors of 10055?
Answer: Factors of 10055 are 1, 5, 2011, 10055. There are 4 integers that are factors of 10055. The greatest factor of 10055 is 10055.
3. What are the Factors of 10059?
Answer: Factors of 10059 are 1, 3, 7, 21, 479, 1437, 3353, 10059. There are 8 integers that are factors of 10059. The greatest factor of 10059 is 10059.
4. How to Find the LCM of 10055 and 10059?
Answer:
Least Common Multiple of 10055 and 10059 = 101143245
Step 1: Find the prime factorization of 10055
10055 = 5 x 2011
Step 2: Find the prime factorization of 10059
10059 = 3 x 7 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101143245 = 3 x 5 x 7 x 479 x 2011
Step 4: Therefore, the least common multiple of 10055 and 10059 is 101143245.