Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6331 and 6335 the smallest integer that is 40106885 that is divisible by both numbers.
Least Common Multiple (LCM) of 6331 and 6335 is 40106885.
LCM(6331,6335) = 40106885
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 6331 and 6335. First we will calculate the prime factors of 6331 and 6335.
Prime Factorization of 6331
13 | 6331 |
487 | 487 |
1 |
Prime factors of 6331 are 13,487. Prime factorization of 6331 in exponential form is:
6331 = 131×4871
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6331 and 6335.
LCM(6331,6335) = 51×71×131×1811×4871
LCM(6331,6335) = 40106885
Factors of 6331
List of positive integer factors of 6331 that divides 6331 without a remainder.
1, 13, 487, 6331
Factors of 6335
List of positive integer factors of 6335 that divides 6335 without a remainder.
1, 5, 7, 35, 181, 905, 1267, 6335
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6331 and 6335, than apply into the LCM equation.
GCF(6331,6335) = 1
LCM(6331,6335) = ( 6331 × 6335) / 1
LCM(6331,6335) = 40106885 / 1
LCM(6331,6335) = 40106885
(i) The LCM of 6335 and 6331 is associative
LCM of 6331 and 6335 = LCM of 6335 and 6331
1. What is the LCM of 6331 and 6335?
Answer: LCM of 6331 and 6335 is 40106885.
2. What are the Factors of 6331?
Answer: Factors of 6331 are 1, 13, 487, 6331. There are 4 integers that are factors of 6331. The greatest factor of 6331 is 6331.
3. 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.
4. How to Find the LCM of 6331 and 6335?
Answer:
Least Common Multiple of 6331 and 6335 = 40106885
Step 1: Find the prime factorization of 6331
6331 = 13 x 487
Step 2: Find the prime factorization of 6335
6335 = 5 x 7 x 181
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40106885 = 5 x 7 x 13 x 181 x 487
Step 4: Therefore, the least common multiple of 6331 and 6335 is 40106885.