Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6313 and 6318 the smallest integer that is 39885534 that is divisible by both numbers.
Least Common Multiple (LCM) of 6313 and 6318 is 39885534.
LCM(6313,6318) = 39885534
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 6313 and 6318. First we will calculate the prime factors of 6313 and 6318.
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
Prime Factorization of 6318
2 | 6318 |
3 | 3159 |
3 | 1053 |
3 | 351 |
3 | 117 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 6318 are 2, 3,13. Prime factorization of 6318 in exponential form is:
6318 = 21×35×131
Now multiplying the highest exponent prime factors to calculate the LCM of 6313 and 6318.
LCM(6313,6318) = 21×35×131×591×1071
LCM(6313,6318) = 39885534
Factors of 6313
List of positive integer factors of 6313 that divides 6313 without a remainder.
1, 59, 107, 6313
Factors of 6318
List of positive integer factors of 6318 that divides 6318 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6313 and 6318, than apply into the LCM equation.
GCF(6313,6318) = 1
LCM(6313,6318) = ( 6313 × 6318) / 1
LCM(6313,6318) = 39885534 / 1
LCM(6313,6318) = 39885534
(i) The LCM of 6318 and 6313 is associative
LCM of 6313 and 6318 = LCM of 6318 and 6313
1. What is the LCM of 6313 and 6318?
Answer: LCM of 6313 and 6318 is 39885534.
2. 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.
3. What are the Factors of 6318?
Answer: Factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318. There are 24 integers that are factors of 6318. The greatest factor of 6318 is 6318.
4. How to Find the LCM of 6313 and 6318?
Answer:
Least Common Multiple of 6313 and 6318 = 39885534
Step 1: Find the prime factorization of 6313
6313 = 59 x 107
Step 2: Find the prime factorization of 6318
6318 = 2 x 3 x 3 x 3 x 3 x 3 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 39885534 = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 59 x 107
Step 4: Therefore, the least common multiple of 6313 and 6318 is 39885534.