Least Common Multiple of 6305 and 6313
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6305 and 6313 the smallest integer that is 39803465 that is divisible by both numbers.
Least Common Multiple (LCM) of 6305 and 6313 is 39803465.
LCM(6305,6313) = 39803465
LCM of 6305 and 6313
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6305 and 6313 by Prime method
- Least Common Multiple of 6305 and 6313 with GCF Formula
LCM of 6305 and 6313 is 39803465
Least common multiple can be found by multiplying the highest exponent prime factors of 6305 and 6313. First we will calculate the prime factors of 6305 and 6313.
Prime Factorization of 6305
| 5 | 6305 |
| 13 | 1261 |
| 97 | 97 |
| 1 |
Prime factors of 6305 are 5, 13,97. Prime factorization of 6305 in exponential form is:
6305 = 51×131×971
Prime Factorization of 6313
| 59 | 6313 |
| 107 | 107 |
| 1 |
Prime factors of 6313 are 59,107. Prime factorization of 6313 in exponential form is:
6313 = 591×1071
Now multiplying the highest exponent prime factors to calculate the LCM of 6305 and 6313.
LCM(6305,6313) = 51×131×591×971×1071
LCM(6305,6313) = 39803465
Factors of 6305
List of positive integer factors of 6305 that divides 6305 without a remainder.
1, 5, 13, 65, 97, 485, 1261, 6305
Factors of 6313
List of positive integer factors of 6313 that divides 6313 without a remainder.
1, 59, 107, 6313
Least Common Multiple of 6305 and 6313 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6305 and 6313, than apply into the LCM equation.
GCF(6305,6313) = 1
LCM(6305,6313) = ( 6305 × 6313) / 1
LCM(6305,6313) = 39803465 / 1
LCM(6305,6313) = 39803465
Properties of LCM 6305 and 6313
(i) The LCM of 6313 and 6305 is associative
LCM of 6305 and 6313 = LCM of 6313 and 6305
Related Least Common Multiples of 6305
Related Least Common Multiples of 6313
Frequently Asked Questions on LCM of 6305 and 6313
1. What is the LCM of 6305 and 6313?
Answer: LCM of 6305 and 6313 is 39803465.
2. What are the Factors of 6305?
Answer: Factors of 6305 are 1, 5, 13, 65, 97, 485, 1261, 6305. There are 8 integers that are factors of 6305. The greatest factor of 6305 is 6305.
3. What are the Factors of 6313?
Answer: Factors of 6313 are 1, 59, 107, 6313. There are 4 integers that are factors of 6313. The greatest factor of 6313 is 6313.
4. How to Find the LCM of 6305 and 6313?
Answer:
Least Common Multiple of 6305 and 6313 = 39803465
Step 1: Find the prime factorization of 6305
6305 = 5 x 13 x 97
Step 2: Find the prime factorization of 6313
6313 = 59 x 107
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39803465 = 5 x 13 x 59 x 97 x 107
Step 4: Therefore, the least common multiple of 6305 and 6313 is 39803465.