Least Common Multiple of 5246 and 5251
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5246 and 5251 the smallest integer that is 27546746 that is divisible by both numbers.
Least Common Multiple (LCM) of 5246 and 5251 is 27546746.
LCM(5246,5251) = 27546746
LCM of 5246 and 5251
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5246 and 5251 by Prime method
- Least Common Multiple of 5246 and 5251 with GCF Formula
LCM of 5246 and 5251 is 27546746
Least common multiple can be found by multiplying the highest exponent prime factors of 5246 and 5251. First we will calculate the prime factors of 5246 and 5251.
Prime Factorization of 5246
| 2 | 5246 |
| 43 | 2623 |
| 61 | 61 |
| 1 |
Prime factors of 5246 are 2, 43,61. Prime factorization of 5246 in exponential form is:
5246 = 21×431×611
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5246 and 5251.
LCM(5246,5251) = 21×431×591×611×891
LCM(5246,5251) = 27546746
Factors of 5246
List of positive integer factors of 5246 that divides 5246 without a remainder.
1, 2, 43, 61, 86, 122, 2623, 5246
Factors of 5251
List of positive integer factors of 5251 that divides 5251 without a remainder.
1, 59, 89, 5251
Least Common Multiple of 5246 and 5251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5246 and 5251, than apply into the LCM equation.
GCF(5246,5251) = 1
LCM(5246,5251) = ( 5246 × 5251) / 1
LCM(5246,5251) = 27546746 / 1
LCM(5246,5251) = 27546746
Properties of LCM 5246 and 5251
(i) The LCM of 5251 and 5246 is associative
LCM of 5246 and 5251 = LCM of 5251 and 5246
Related Least Common Multiples of 5246
Related Least Common Multiples of 5251
Frequently Asked Questions on LCM of 5246 and 5251
1. What is the LCM of 5246 and 5251?
Answer: LCM of 5246 and 5251 is 27546746.
2. What are the Factors of 5246?
Answer: Factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246. There are 8 integers that are factors of 5246. The greatest factor of 5246 is 5246.
3. 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.
4. How to Find the LCM of 5246 and 5251?
Answer:
Least Common Multiple of 5246 and 5251 = 27546746
Step 1: Find the prime factorization of 5246
5246 = 2 x 43 x 61
Step 2: Find the prime factorization of 5251
5251 = 59 x 89
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 27546746 = 2 x 43 x 59 x 61 x 89
Step 4: Therefore, the least common multiple of 5246 and 5251 is 27546746.