Least Common Multiple of 5251 and 5257
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 5257 the smallest integer that is 27604507 that is divisible by both numbers.
Least Common Multiple (LCM) of 5251 and 5257 is 27604507.
LCM(5251,5257) = 27604507
LCM of 5251 and 5257
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5251 and 5257 by Prime method
- Least Common Multiple of 5251 and 5257 with GCF Formula
LCM of 5251 and 5257 is 27604507
Least common multiple can be found by multiplying the highest exponent prime factors of 5251 and 5257. First we will calculate the prime factors of 5251 and 5257.
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 5257
| 7 | 5257 |
| 751 | 751 |
| 1 |
Prime factors of 5257 are 7,751. Prime factorization of 5257 in exponential form is:
5257 = 71×7511
Now multiplying the highest exponent prime factors to calculate the LCM of 5251 and 5257.
LCM(5251,5257) = 71×591×891×7511
LCM(5251,5257) = 27604507
Factors of 5251
List of positive integer factors of 5251 that divides 5251 without a remainder.
1, 59, 89, 5251
Factors of 5257
List of positive integer factors of 5257 that divides 5257 without a remainder.
1, 7, 751, 5257
Least Common Multiple of 5251 and 5257 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 5257, than apply into the LCM equation.
GCF(5251,5257) = 1
LCM(5251,5257) = ( 5251 × 5257) / 1
LCM(5251,5257) = 27604507 / 1
LCM(5251,5257) = 27604507
Properties of LCM 5251 and 5257
(i) The LCM of 5257 and 5251 is associative
LCM of 5251 and 5257 = LCM of 5257 and 5251
Related Least Common Multiples of 5251
Related Least Common Multiples of 5257
Frequently Asked Questions on LCM of 5251 and 5257
1. What is the LCM of 5251 and 5257?
Answer: LCM of 5251 and 5257 is 27604507.
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 5257?
Answer: Factors of 5257 are 1, 7, 751, 5257. There are 4 integers that are factors of 5257. The greatest factor of 5257 is 5257.
4. How to Find the LCM of 5251 and 5257?
Answer:
Least Common Multiple of 5251 and 5257 = 27604507
Step 1: Find the prime factorization of 5251
5251 = 59 x 89
Step 2: Find the prime factorization of 5257
5257 = 7 x 751
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27604507 = 7 x 59 x 89 x 751
Step 4: Therefore, the least common multiple of 5251 and 5257 is 27604507.