Least Common Multiple of 10052 and 10055
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10052 and 10055 the smallest integer that is 101072860 that is divisible by both numbers.
Least Common Multiple (LCM) of 10052 and 10055 is 101072860.
LCM(10052,10055) = 101072860
LCM of 10052 and 10055
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10052 and 10055 by Prime method
- Least Common Multiple of 10052 and 10055 with GCF Formula
LCM of 10052 and 10055 is 101072860
Least common multiple can be found by multiplying the highest exponent prime factors of 10052 and 10055. First we will calculate the prime factors of 10052 and 10055.
Prime Factorization of 10052
| 2 | 10052 |
| 2 | 5026 |
| 7 | 2513 |
| 359 | 359 |
| 1 |
Prime factors of 10052 are 2, 7,359. Prime factorization of 10052 in exponential form is:
10052 = 22×71×3591
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
Now multiplying the highest exponent prime factors to calculate the LCM of 10052 and 10055.
LCM(10052,10055) = 22×51×71×3591×20111
LCM(10052,10055) = 101072860
Factors of 10052
List of positive integer factors of 10052 that divides 10052 without a remainder.
1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052
Factors of 10055
List of positive integer factors of 10055 that divides 10055 without a remainder.
1, 5, 2011, 10055
Least Common Multiple of 10052 and 10055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10052 and 10055, than apply into the LCM equation.
GCF(10052,10055) = 1
LCM(10052,10055) = ( 10052 × 10055) / 1
LCM(10052,10055) = 101072860 / 1
LCM(10052,10055) = 101072860
Properties of LCM 10052 and 10055
(i) The LCM of 10055 and 10052 is associative
LCM of 10052 and 10055 = LCM of 10055 and 10052
Related Least Common Multiples of 10052
Related Least Common Multiples of 10055
Frequently Asked Questions on LCM of 10052 and 10055
1. What is the LCM of 10052 and 10055?
Answer: LCM of 10052 and 10055 is 101072860.
2. What are the Factors of 10052?
Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.
3. 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.
4. How to Find the LCM of 10052 and 10055?
Answer:
Least Common Multiple of 10052 and 10055 = 101072860
Step 1: Find the prime factorization of 10052
10052 = 2 x 2 x 7 x 359
Step 2: Find the prime factorization of 10055
10055 = 5 x 2011
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101072860 = 2 x 2 x 5 x 7 x 359 x 2011
Step 4: Therefore, the least common multiple of 10052 and 10055 is 101072860.