Least Common Multiple of 6253 and 6258
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6253 and 6258 the smallest integer that is 39131274 that is divisible by both numbers.
Least Common Multiple (LCM) of 6253 and 6258 is 39131274.
LCM(6253,6258) = 39131274
LCM of 6253 and 6258
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6253 and 6258 by Prime method
- Least Common Multiple of 6253 and 6258 with GCF Formula
LCM of 6253 and 6258 is 39131274
Least common multiple can be found by multiplying the highest exponent prime factors of 6253 and 6258. First we will calculate the prime factors of 6253 and 6258.
Prime Factorization of 6253
| 13 | 6253 |
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 6253 are 13,37. Prime factorization of 6253 in exponential form is:
6253 = 132×371
Prime Factorization of 6258
| 2 | 6258 |
| 3 | 3129 |
| 7 | 1043 |
| 149 | 149 |
| 1 |
Prime factors of 6258 are 2, 3, 7,149. Prime factorization of 6258 in exponential form is:
6258 = 21×31×71×1491
Now multiplying the highest exponent prime factors to calculate the LCM of 6253 and 6258.
LCM(6253,6258) = 21×31×71×132×371×1491
LCM(6253,6258) = 39131274
Factors of 6253
List of positive integer factors of 6253 that divides 6253 without a remainder.
1, 13, 37, 169, 481, 6253
Factors of 6258
List of positive integer factors of 6258 that divides 6258 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258
Least Common Multiple of 6253 and 6258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6253 and 6258, than apply into the LCM equation.
GCF(6253,6258) = 1
LCM(6253,6258) = ( 6253 × 6258) / 1
LCM(6253,6258) = 39131274 / 1
LCM(6253,6258) = 39131274
Properties of LCM 6253 and 6258
(i) The LCM of 6258 and 6253 is associative
LCM of 6253 and 6258 = LCM of 6258 and 6253
Related Least Common Multiples of 6253
Related Least Common Multiples of 6258
Frequently Asked Questions on LCM of 6253 and 6258
1. What is the LCM of 6253 and 6258?
Answer: LCM of 6253 and 6258 is 39131274.
2. What are the Factors of 6253?
Answer: Factors of 6253 are 1, 13, 37, 169, 481, 6253. There are 6 integers that are factors of 6253. The greatest factor of 6253 is 6253.
3. What are the Factors of 6258?
Answer: Factors of 6258 are 1, 2, 3, 6, 7, 14, 21, 42, 149, 298, 447, 894, 1043, 2086, 3129, 6258. There are 16 integers that are factors of 6258. The greatest factor of 6258 is 6258.
4. How to Find the LCM of 6253 and 6258?
Answer:
Least Common Multiple of 6253 and 6258 = 39131274
Step 1: Find the prime factorization of 6253
6253 = 13 x 13 x 37
Step 2: Find the prime factorization of 6258
6258 = 2 x 3 x 7 x 149
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39131274 = 2 x 3 x 7 x 13 x 13 x 37 x 149
Step 4: Therefore, the least common multiple of 6253 and 6258 is 39131274.