Least Common Multiple of 5251 and 5258
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5251 and 5258 the smallest integer that is 27609758 that is divisible by both numbers.
Least Common Multiple (LCM) of 5251 and 5258 is 27609758.
LCM(5251,5258) = 27609758
LCM of 5251 and 5258
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5251 and 5258 by Prime method
- Least Common Multiple of 5251 and 5258 with GCF Formula
LCM of 5251 and 5258 is 27609758
Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5258. First we will calculate the prime factors of 5251 and 5258.
Prime Factorization of 5251
| 59 | 5251 |
| 89 | 89 |
| 1 |
Prime factors of 5251 are 59,89. Prime factorization of 5251 in exponential form is:
5251 = 591×891
Prime Factorization of 5258
| 2 | 5258 |
| 11 | 2629 |
| 239 | 239 |
| 1 |
Prime factors of 5258 are 2, 11,239. Prime factorization of 5258 in exponential form is:
5258 = 21×111×2391
Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5258.
LCM(5251,5258) = 21×111×591×891×2391
LCM(5251,5258) = 27609758
Factors of 5251
List of positive integer factors of 5251 that divides 5251 without a remainder.
1, 59, 89, 5251
Factors of 5258
List of positive integer factors of 5258 that divides 5258 without a remainder.
1, 2, 11, 22, 239, 478, 2629, 5258
Least Common Multiple of 5251 and 5258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5251 and 5258, than apply into the LCM equation.
GCF(5251,5258) = 1
LCM(5251,5258) = ( 5251 × 5258) / 1
LCM(5251,5258) = 27609758 / 1
LCM(5251,5258) = 27609758
Properties of LCM 5251 and 5258
(i) The LCM of 5258 and 5251 is associative
LCM of 5251 and 5258 = LCM of 5258 and 5251
Related Least Common Multiples of 5251
Related Least Common Multiples of 5258
Frequently Asked Questions on LCM of 5251 and 5258
1. What is the LCM of 5251 and 5258?
Answer: LCM of 5251 and 5258 is 27609758.
2. What are the Factors of 5251?
Answer: Factors of 5251 are 1, 59, 89, 5251. There are 4 integers that are factors of 5251. The greatest factor of 5251 is 5251.
3. What are the Factors of 5258?
Answer: Factors of 5258 are 1, 2, 11, 22, 239, 478, 2629, 5258. There are 8 integers that are factors of 5258. The greatest factor of 5258 is 5258.
4. How to Find the LCM of 5251 and 5258?
Answer:
Least Common Multiple of 5251 and 5258 = 27609758
Step 1: Find the prime factorization of 5251
5251 = 59 x 89
Step 2: Find the prime factorization of 5258
5258 = 2 x 11 x 239
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27609758 = 2 x 11 x 59 x 89 x 239
Step 4: Therefore, the least common multiple of 5251 and 5258 is 27609758.