Least Common Multiple of 6335 and 6339
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6335 and 6339 the smallest integer that is 40157565 that is divisible by both numbers.
Least Common Multiple (LCM) of 6335 and 6339 is 40157565.
LCM(6335,6339) = 40157565
LCM of 6335 and 6339
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 6335 and 6339 by Prime method
- Least Common Multiple of 6335 and 6339 with GCF Formula
LCM of 6335 and 6339 is 40157565
Least common multiple can be found by multiplying the highest exponent prime factors of 6335 and 6339. First we will calculate the prime factors of 6335 and 6339.
Prime Factorization of 6335
| 5 | 6335 |
| 7 | 1267 |
| 181 | 181 |
| 1 |
Prime factors of 6335 are 5, 7,181. Prime factorization of 6335 in exponential form is:
6335 = 51×71×1811
Prime Factorization of 6339
| 3 | 6339 |
| 2113 | 2113 |
| 1 |
Prime factors of 6339 are 3,2113. Prime factorization of 6339 in exponential form is:
6339 = 31×21131
Now multiplying the highest exponent prime factors to calculate the LCM of 6335 and 6339.
LCM(6335,6339) = 31×51×71×1811×21131
LCM(6335,6339) = 40157565
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1, 5, 7, 35, 181, 905, 1267, 6335
Factors of 6339
List of positive integer factors of 6339 that divides 6339 without a remainder.
1, 3, 2113, 6339
Least Common Multiple of 6335 and 6339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6335 and 6339, than apply into the LCM equation.
GCF(6335,6339) = 1
LCM(6335,6339) = ( 6335 × 6339) / 1
LCM(6335,6339) = 40157565 / 1
LCM(6335,6339) = 40157565
Properties of LCM 6335 and 6339
(i) The LCM of 6339 and 6335 is associative
LCM of 6335 and 6339 = LCM of 6339 and 6335
Related Least Common Multiples of 6335
Related Least Common Multiples of 6339
Frequently Asked Questions on LCM of 6335 and 6339
1. What is the LCM of 6335 and 6339?
Answer: LCM of 6335 and 6339 is 40157565.
2. What are the Factors of 6335?
Answer: Factors of 6335 are 1, 5, 7, 35, 181, 905, 1267, 6335. There are 8 integers that are factors of 6335. The greatest factor of 6335 is 6335.
3. What are the Factors of 6339?
Answer: Factors of 6339 are 1, 3, 2113, 6339. There are 4 integers that are factors of 6339. The greatest factor of 6339 is 6339.
4. How to Find the LCM of 6335 and 6339?
Answer:
Least Common Multiple of 6335 and 6339 = 40157565
Step 1: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 2: Find the prime factorization of 6339
6339 = 3 x 2113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40157565 = 3 x 5 x 7 x 181 x 2113
Step 4: Therefore, the least common multiple of 6335 and 6339 is 40157565.