Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6359 and 6365 the smallest integer that is 40475035 that is divisible by both numbers.
Least Common Multiple (LCM) of 6359 and 6365 is 40475035.
LCM(6359,6365) = 40475035
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 6359 and 6365. First we will calculate the prime factors of 6359 and 6365.
Prime Factorization of 6359
6359 | 6359 |
1 |
Prime factors of 6359 are 6359. Prime factorization of 6359 in exponential form is:
6359 = 63591
Prime Factorization of 6365
5 | 6365 |
19 | 1273 |
67 | 67 |
1 |
Prime factors of 6365 are 5, 19,67. Prime factorization of 6365 in exponential form is:
6365 = 51×191×671
Now multiplying the highest exponent prime factors to calculate the LCM of 6359 and 6365.
LCM(6359,6365) = 51×191×671×63591
LCM(6359,6365) = 40475035
Factors of 6359
List of positive integer factors of 6359 that divides 6359 without a remainder.
1, 6359
Factors of 6365
List of positive integer factors of 6365 that divides 6365 without a remainder.
1, 5, 19, 67, 95, 335, 1273, 6365
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6359 and 6365, than apply into the LCM equation.
GCF(6359,6365) = 1
LCM(6359,6365) = ( 6359 × 6365) / 1
LCM(6359,6365) = 40475035 / 1
LCM(6359,6365) = 40475035
(i) The LCM of 6365 and 6359 is associative
LCM of 6359 and 6365 = LCM of 6365 and 6359
1. What is the LCM of 6359 and 6365?
Answer: LCM of 6359 and 6365 is 40475035.
2. What are the Factors of 6359?
Answer: Factors of 6359 are 1, 6359. There are 2 integers that are factors of 6359. The greatest factor of 6359 is 6359.
3. What are the Factors of 6365?
Answer: Factors of 6365 are 1, 5, 19, 67, 95, 335, 1273, 6365. There are 8 integers that are factors of 6365. The greatest factor of 6365 is 6365.
4. How to Find the LCM of 6359 and 6365?
Answer:
Least Common Multiple of 6359 and 6365 = 40475035
Step 1: Find the prime factorization of 6359
6359 = 6359
Step 2: Find the prime factorization of 6365
6365 = 5 x 19 x 67
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40475035 = 5 x 19 x 67 x 6359
Step 4: Therefore, the least common multiple of 6359 and 6365 is 40475035.