Least Common Multiple of 6249 and 6253
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6249 and 6253 the smallest integer that is 39074997 that is divisible by both numbers.
Least Common Multiple (LCM) of 6249 and 6253 is 39074997.
LCM(6249,6253) = 39074997
LCM of 6249 and 6253
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6249 and 6253 by Prime method
- Least Common Multiple of 6249 and 6253 with GCF Formula
LCM of 6249 and 6253 is 39074997
Least common multiple can be found by multiplying the highest exponent prime factors of 6249 and 6253. First we will calculate the prime factors of 6249 and 6253.
Prime Factorization of 6249
| 3 | 6249 |
| 2083 | 2083 |
| 1 |
Prime factors of 6249 are 3,2083. Prime factorization of 6249 in exponential form is:
6249 = 31×20831
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6249 and 6253.
LCM(6249,6253) = 31×132×371×20831
LCM(6249,6253) = 39074997
Factors of 6249
List of positive integer factors of 6249 that divides 6249 without a remainder.
1, 3, 2083, 6249
Factors of 6253
List of positive integer factors of 6253 that divides 6253 without a remainder.
1, 13, 37, 169, 481, 6253
Least Common Multiple of 6249 and 6253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6249 and 6253, than apply into the LCM equation.
GCF(6249,6253) = 1
LCM(6249,6253) = ( 6249 × 6253) / 1
LCM(6249,6253) = 39074997 / 1
LCM(6249,6253) = 39074997
Properties of LCM 6249 and 6253
(i) The LCM of 6253 and 6249 is associative
LCM of 6249 and 6253 = LCM of 6253 and 6249
Related Least Common Multiples of 6249
Related Least Common Multiples of 6253
Frequently Asked Questions on LCM of 6249 and 6253
1. What is the LCM of 6249 and 6253?
Answer: LCM of 6249 and 6253 is 39074997.
2. What are the Factors of 6249?
Answer: Factors of 6249 are 1, 3, 2083, 6249. There are 4 integers that are factors of 6249. The greatest factor of 6249 is 6249.
3. 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.
4. How to Find the LCM of 6249 and 6253?
Answer:
Least Common Multiple of 6249 and 6253 = 39074997
Step 1: Find the prime factorization of 6249
6249 = 3 x 2083
Step 2: Find the prime factorization of 6253
6253 = 13 x 13 x 37
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39074997 = 3 x 13 x 13 x 37 x 2083
Step 4: Therefore, the least common multiple of 6249 and 6253 is 39074997.