Least Common Multiple of 6243 and 6251
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6243 and 6251 the smallest integer that is 39024993 that is divisible by both numbers.
Least Common Multiple (LCM) of 6243 and 6251 is 39024993.
LCM(6243,6251) = 39024993
LCM of 6243 and 6251
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6243 and 6251 by Prime method
- Least Common Multiple of 6243 and 6251 with GCF Formula
LCM of 6243 and 6251 is 39024993
Least common multiple can be found by multiplying the highest exponent prime factors of 6243 and 6251. First we will calculate the prime factors of 6243 and 6251.
Prime Factorization of 6243
| 3 | 6243 |
| 2081 | 2081 |
| 1 |
Prime factors of 6243 are 3,2081. Prime factorization of 6243 in exponential form is:
6243 = 31×20811
Prime Factorization of 6251
| 7 | 6251 |
| 19 | 893 |
| 47 | 47 |
| 1 |
Prime factors of 6251 are 7, 19,47. Prime factorization of 6251 in exponential form is:
6251 = 71×191×471
Now multiplying the highest exponent prime factors to calculate the LCM of 6243 and 6251.
LCM(6243,6251) = 31×71×191×471×20811
LCM(6243,6251) = 39024993
Factors of 6243
List of positive integer factors of 6243 that divides 6243 without a remainder.
1, 3, 2081, 6243
Factors of 6251
List of positive integer factors of 6251 that divides 6251 without a remainder.
1, 7, 19, 47, 133, 329, 893, 6251
Least Common Multiple of 6243 and 6251 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6243 and 6251, than apply into the LCM equation.
GCF(6243,6251) = 1
LCM(6243,6251) = ( 6243 × 6251) / 1
LCM(6243,6251) = 39024993 / 1
LCM(6243,6251) = 39024993
Properties of LCM 6243 and 6251
(i) The LCM of 6251 and 6243 is associative
LCM of 6243 and 6251 = LCM of 6251 and 6243
Related Least Common Multiples of 6243
Related Least Common Multiples of 6251
Frequently Asked Questions on LCM of 6243 and 6251
1. What is the LCM of 6243 and 6251?
Answer: LCM of 6243 and 6251 is 39024993.
2. What are the Factors of 6243?
Answer: Factors of 6243 are 1, 3, 2081, 6243. There are 4 integers that are factors of 6243. The greatest factor of 6243 is 6243.
3. What are the Factors of 6251?
Answer: Factors of 6251 are 1, 7, 19, 47, 133, 329, 893, 6251. There are 8 integers that are factors of 6251. The greatest factor of 6251 is 6251.
4. How to Find the LCM of 6243 and 6251?
Answer:
Least Common Multiple of 6243 and 6251 = 39024993
Step 1: Find the prime factorization of 6243
6243 = 3 x 2081
Step 2: Find the prime factorization of 6251
6251 = 7 x 19 x 47
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39024993 = 3 x 7 x 19 x 47 x 2081
Step 4: Therefore, the least common multiple of 6243 and 6251 is 39024993.