Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6361 and 6369 the smallest integer that is 40513209 that is divisible by both numbers.
Least Common Multiple (LCM) of 6361 and 6369 is 40513209.
LCM(6361,6369) = 40513209
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 6361 and 6369. First we will calculate the prime factors of 6361 and 6369.
Prime Factorization of 6361
6361 | 6361 |
1 |
Prime factors of 6361 are 6361. Prime factorization of 6361 in exponential form is:
6361 = 63611
Prime Factorization of 6369
3 | 6369 |
11 | 2123 |
193 | 193 |
1 |
Prime factors of 6369 are 3, 11,193. Prime factorization of 6369 in exponential form is:
6369 = 31×111×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 6361 and 6369.
LCM(6361,6369) = 31×111×1931×63611
LCM(6361,6369) = 40513209
Factors of 6361
List of positive integer factors of 6361 that divides 6361 without a remainder.
1, 6361
Factors of 6369
List of positive integer factors of 6369 that divides 6369 without a remainder.
1, 3, 11, 33, 193, 579, 2123, 6369
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6361 and 6369, than apply into the LCM equation.
GCF(6361,6369) = 1
LCM(6361,6369) = ( 6361 × 6369) / 1
LCM(6361,6369) = 40513209 / 1
LCM(6361,6369) = 40513209
(i) The LCM of 6369 and 6361 is associative
LCM of 6361 and 6369 = LCM of 6369 and 6361
1. What is the LCM of 6361 and 6369?
Answer: LCM of 6361 and 6369 is 40513209.
2. What are the Factors of 6361?
Answer: Factors of 6361 are 1, 6361. There are 2 integers that are factors of 6361. The greatest factor of 6361 is 6361.
3. What are the Factors of 6369?
Answer: Factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369. There are 8 integers that are factors of 6369. The greatest factor of 6369 is 6369.
4. How to Find the LCM of 6361 and 6369?
Answer:
Least Common Multiple of 6361 and 6369 = 40513209
Step 1: Find the prime factorization of 6361
6361 = 6361
Step 2: Find the prime factorization of 6369
6369 = 3 x 11 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40513209 = 3 x 11 x 193 x 6361
Step 4: Therefore, the least common multiple of 6361 and 6369 is 40513209.