Least Common Multiple of 6293 and 6299
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6293 and 6299 the smallest integer that is 39639607 that is divisible by both numbers.
Least Common Multiple (LCM) of 6293 and 6299 is 39639607.
LCM(6293,6299) = 39639607
LCM of 6293 and 6299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6293 and 6299 by Prime method
- Least Common Multiple of 6293 and 6299 with GCF Formula
LCM of 6293 and 6299 is 39639607
Least common multiple can be found by multiplying the highest exponent prime factors of 6293 and 6299. First we will calculate the prime factors of 6293 and 6299.
Prime Factorization of 6293
| 7 | 6293 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 6293 are 7, 29,31. Prime factorization of 6293 in exponential form is:
6293 = 71×291×311
Prime Factorization of 6299
| 6299 | 6299 |
| 1 |
Prime factors of 6299 are 6299. Prime factorization of 6299 in exponential form is:
6299 = 62991
Now multiplying the highest exponent prime factors to calculate the LCM of 6293 and 6299.
LCM(6293,6299) = 71×291×311×62991
LCM(6293,6299) = 39639607
Factors of 6293
List of positive integer factors of 6293 that divides 6293 without a remainder.
1, 7, 29, 31, 203, 217, 899, 6293
Factors of 6299
List of positive integer factors of 6299 that divides 6299 without a remainder.
1, 6299
Least Common Multiple of 6293 and 6299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6293 and 6299, than apply into the LCM equation.
GCF(6293,6299) = 1
LCM(6293,6299) = ( 6293 × 6299) / 1
LCM(6293,6299) = 39639607 / 1
LCM(6293,6299) = 39639607
Properties of LCM 6293 and 6299
(i) The LCM of 6299 and 6293 is associative
LCM of 6293 and 6299 = LCM of 6299 and 6293
Related Least Common Multiples of 6293
Related Least Common Multiples of 6299
Frequently Asked Questions on LCM of 6293 and 6299
1. What is the LCM of 6293 and 6299?
Answer: LCM of 6293 and 6299 is 39639607.
2. What are the Factors of 6293?
Answer: Factors of 6293 are 1, 7, 29, 31, 203, 217, 899, 6293. There are 8 integers that are factors of 6293. The greatest factor of 6293 is 6293.
3. What are the Factors of 6299?
Answer: Factors of 6299 are 1, 6299. There are 2 integers that are factors of 6299. The greatest factor of 6299 is 6299.
4. How to Find the LCM of 6293 and 6299?
Answer:
Least Common Multiple of 6293 and 6299 = 39639607
Step 1: Find the prime factorization of 6293
6293 = 7 x 29 x 31
Step 2: Find the prime factorization of 6299
6299 = 6299
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39639607 = 7 x 29 x 31 x 6299
Step 4: Therefore, the least common multiple of 6293 and 6299 is 39639607.