Least Common Multiple of 10055 and 10062
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 10062 the smallest integer that is 101173410 that is divisible by both numbers.
Least Common Multiple (LCM) of 10055 and 10062 is 101173410.
LCM(10055,10062) = 101173410
LCM of 10055 and 10062
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10055 and 10062 by Prime method
- Least Common Multiple of 10055 and 10062 with GCF Formula
LCM of 10055 and 10062 is 101173410
Least common multiple can be found by multiplying the highest exponent prime factors of 10055 and 10062. First we will calculate the prime factors of 10055 and 10062.
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 10062
| 2 | 10062 |
| 3 | 5031 |
| 3 | 1677 |
| 13 | 559 |
| 43 | 43 |
| 1 |
Prime factors of 10062 are 2, 3, 13,43. Prime factorization of 10062 in exponential form is:
10062 = 21×32×131×431
Now multiplying the highest exponent prime factors to calculate the LCM of 10055 and 10062.
LCM(10055,10062) = 21×32×51×131×431×20111
LCM(10055,10062) = 101173410
Factors of 10055
List of positive integer factors of 10055 that divides 10055 without a remainder.
1, 5, 2011, 10055
Factors of 10062
List of positive integer factors of 10062 that divides 10062 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062
Least Common Multiple of 10055 and 10062 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 10062, than apply into the LCM equation.
GCF(10055,10062) = 1
LCM(10055,10062) = ( 10055 × 10062) / 1
LCM(10055,10062) = 101173410 / 1
LCM(10055,10062) = 101173410
Properties of LCM 10055 and 10062
(i) The LCM of 10062 and 10055 is associative
LCM of 10055 and 10062 = LCM of 10062 and 10055
Related Least Common Multiples of 10055
Related Least Common Multiples of 10062
Frequently Asked Questions on LCM of 10055 and 10062
1. What is the LCM of 10055 and 10062?
Answer: LCM of 10055 and 10062 is 101173410.
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 10062?
Answer: Factors of 10062 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 43, 78, 86, 117, 129, 234, 258, 387, 559, 774, 1118, 1677, 3354, 5031, 10062. There are 24 integers that are factors of 10062. The greatest factor of 10062 is 10062.
4. How to Find the LCM of 10055 and 10062?
Answer:
Least Common Multiple of 10055 and 10062 = 101173410
Step 1: Find the prime factorization of 10055
10055 = 5 x 2011
Step 2: Find the prime factorization of 10062
10062 = 2 x 3 x 3 x 13 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101173410 = 2 x 3 x 3 x 5 x 13 x 43 x 2011
Step 4: Therefore, the least common multiple of 10055 and 10062 is 101173410.