Least Common Multiple of 10251 and 10258
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10251 and 10258 the smallest integer that is 105154758 that is divisible by both numbers.
Least Common Multiple (LCM) of 10251 and 10258 is 105154758.
LCM(10251,10258) = 105154758
LCM of 10251 and 10258
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 10251 and 10258 by Prime method
- Least Common Multiple of 10251 and 10258 with GCF Formula
LCM of 10251 and 10258 is 105154758
Least common multiple can be found by multiplying the highest exponent prime factors of 10251 and 10258. First we will calculate the prime factors of 10251 and 10258.
Prime Factorization of 10251
| 3 | 10251 |
| 3 | 3417 |
| 17 | 1139 |
| 67 | 67 |
| 1 |
Prime factors of 10251 are 3, 17,67. Prime factorization of 10251 in exponential form is:
10251 = 32×171×671
Prime Factorization of 10258
| 2 | 10258 |
| 23 | 5129 |
| 223 | 223 |
| 1 |
Prime factors of 10258 are 2, 23,223. Prime factorization of 10258 in exponential form is:
10258 = 21×231×2231
Now multiplying the highest exponent prime factors to calculate the LCM of 10251 and 10258.
LCM(10251,10258) = 21×32×171×231×671×2231
LCM(10251,10258) = 105154758
Factors of 10251
List of positive integer factors of 10251 that divides 10251 without a remainder.
1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251
Factors of 10258
List of positive integer factors of 10258 that divides 10258 without a remainder.
1, 2, 23, 46, 223, 446, 5129, 10258
Least Common Multiple of 10251 and 10258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10251 and 10258, than apply into the LCM equation.
GCF(10251,10258) = 1
LCM(10251,10258) = ( 10251 × 10258) / 1
LCM(10251,10258) = 105154758 / 1
LCM(10251,10258) = 105154758
Properties of LCM 10251 and 10258
(i) The LCM of 10258 and 10251 is associative
LCM of 10251 and 10258 = LCM of 10258 and 10251
Related Least Common Multiples of 10251
Related Least Common Multiples of 10258
Frequently Asked Questions on LCM of 10251 and 10258
1. What is the LCM of 10251 and 10258?
Answer: LCM of 10251 and 10258 is 105154758.
2. What are the Factors of 10251?
Answer: Factors of 10251 are 1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417, 10251. There are 12 integers that are factors of 10251. The greatest factor of 10251 is 10251.
3. What are the Factors of 10258?
Answer: Factors of 10258 are 1, 2, 23, 46, 223, 446, 5129, 10258. There are 8 integers that are factors of 10258. The greatest factor of 10258 is 10258.
4. How to Find the LCM of 10251 and 10258?
Answer:
Least Common Multiple of 10251 and 10258 = 105154758
Step 1: Find the prime factorization of 10251
10251 = 3 x 3 x 17 x 67
Step 2: Find the prime factorization of 10258
10258 = 2 x 23 x 223
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 105154758 = 2 x 3 x 3 x 17 x 23 x 67 x 223
Step 4: Therefore, the least common multiple of 10251 and 10258 is 105154758.