Least Common Multiple of 10058 and 10061
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10058 and 10061 the smallest integer that is 101193538 that is divisible by both numbers.
Least Common Multiple (LCM) of 10058 and 10061 is 101193538.
LCM(10058,10061) = 101193538
LCM of 10058 and 10061
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10058 and 10061 by Prime method
- Least Common Multiple of 10058 and 10061 with GCF Formula
LCM of 10058 and 10061 is 101193538
Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10061. First we will calculate the prime factors of 10058 and 10061.
Prime Factorization of 10058
| 2 | 10058 |
| 47 | 5029 |
| 107 | 107 |
| 1 |
Prime factors of 10058 are 2, 47,107. Prime factorization of 10058 in exponential form is:
10058 = 21×471×1071
Prime Factorization of 10061
| 10061 | 10061 |
| 1 |
Prime factors of 10061 are 10061. Prime factorization of 10061 in exponential form is:
10061 = 100611
Now multiplying the highest exponent prime factors to calculate the LCM of 10058 and 10061.
LCM(10058,10061) = 21×471×1071×100611
LCM(10058,10061) = 101193538
Factors of 10058
List of positive integer factors of 10058 that divides 10058 without a remainder.
1, 2, 47, 94, 107, 214, 5029, 10058
Factors of 10061
List of positive integer factors of 10061 that divides 10061 without a remainder.
1, 10061
Least Common Multiple of 10058 and 10061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10058 and 10061, than apply into the LCM equation.
GCF(10058,10061) = 1
LCM(10058,10061) = ( 10058 × 10061) / 1
LCM(10058,10061) = 101193538 / 1
LCM(10058,10061) = 101193538
Properties of LCM 10058 and 10061
(i) The LCM of 10061 and 10058 is associative
LCM of 10058 and 10061 = LCM of 10061 and 10058
Related Least Common Multiples of 10058
Related Least Common Multiples of 10061
Frequently Asked Questions on LCM of 10058 and 10061
1. What is the LCM of 10058 and 10061?
Answer: LCM of 10058 and 10061 is 101193538.
2. What are the Factors of 10058?
Answer: Factors of 10058 are 1, 2, 47, 94, 107, 214, 5029, 10058. There are 8 integers that are factors of 10058. The greatest factor of 10058 is 10058.
3. What are the Factors of 10061?
Answer: Factors of 10061 are 1, 10061. There are 2 integers that are factors of 10061. The greatest factor of 10061 is 10061.
4. How to Find the LCM of 10058 and 10061?
Answer:
Least Common Multiple of 10058 and 10061 = 101193538
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
Step 2: Find the prime factorization of 10061
10061 = 10061
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101193538 = 2 x 47 x 107 x 10061
Step 4: Therefore, the least common multiple of 10058 and 10061 is 101193538.