Least Common Multiple of 10058 and 10063
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 10063 the smallest integer that is 101213654 that is divisible by both numbers.
Least Common Multiple (LCM) of 10058 and 10063 is 101213654.
LCM(10058,10063) = 101213654
LCM of 10058 and 10063
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10058 and 10063 by Prime method
- Least Common Multiple of 10058 and 10063 with GCF Formula
LCM of 10058 and 10063 is 101213654
Least common multiple can be found by multiplying the highest exponent prime factors of 10058 and 10063. First we will calculate the prime factors of 10058 and 10063.
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 10063
| 29 | 10063 |
| 347 | 347 |
| 1 |
Prime factors of 10063 are 29,347. Prime factorization of 10063 in exponential form is:
10063 = 291×3471
Now multiplying the highest exponent prime factors to calculate the LCM of 10058 and 10063.
LCM(10058,10063) = 21×291×471×1071×3471
LCM(10058,10063) = 101213654
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 10063
List of positive integer factors of 10063 that divides 10063 without a remainder.
1, 29, 347, 10063
Least Common Multiple of 10058 and 10063 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 10063, than apply into the LCM equation.
GCF(10058,10063) = 1
LCM(10058,10063) = ( 10058 × 10063) / 1
LCM(10058,10063) = 101213654 / 1
LCM(10058,10063) = 101213654
Properties of LCM 10058 and 10063
(i) The LCM of 10063 and 10058 is associative
LCM of 10058 and 10063 = LCM of 10063 and 10058
Related Least Common Multiples of 10058
Related Least Common Multiples of 10063
Frequently Asked Questions on LCM of 10058 and 10063
1. What is the LCM of 10058 and 10063?
Answer: LCM of 10058 and 10063 is 101213654.
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 10063?
Answer: Factors of 10063 are 1, 29, 347, 10063. There are 4 integers that are factors of 10063. The greatest factor of 10063 is 10063.
4. How to Find the LCM of 10058 and 10063?
Answer:
Least Common Multiple of 10058 and 10063 = 101213654
Step 1: Find the prime factorization of 10058
10058 = 2 x 47 x 107
Step 2: Find the prime factorization of 10063
10063 = 29 x 347
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 101213654 = 2 x 29 x 47 x 107 x 347
Step 4: Therefore, the least common multiple of 10058 and 10063 is 101213654.