Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6329 and 6337 the smallest integer that is 40106873 that is divisible by both numbers.
Least Common Multiple (LCM) of 6329 and 6337 is 40106873.
LCM(6329,6337) = 40106873
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 6329 and 6337. First we will calculate the prime factors of 6329 and 6337.
Prime Factorization of 6329
6329 | 6329 |
1 |
Prime factors of 6329 are 6329. Prime factorization of 6329 in exponential form is:
6329 = 63291
Prime Factorization of 6337
6337 | 6337 |
1 |
Prime factors of 6337 are 6337. Prime factorization of 6337 in exponential form is:
6337 = 63371
Now multiplying the highest exponent prime factors to calculate the LCM of 6329 and 6337.
LCM(6329,6337) = 63291×63371
LCM(6329,6337) = 40106873
Factors of 6329
List of positive integer factors of 6329 that divides 6329 without a remainder.
1, 6329
Factors of 6337
List of positive integer factors of 6337 that divides 6337 without a remainder.
1, 6337
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6329 and 6337, than apply into the LCM equation.
GCF(6329,6337) = 1
LCM(6329,6337) = ( 6329 × 6337) / 1
LCM(6329,6337) = 40106873 / 1
LCM(6329,6337) = 40106873
(i) The LCM of 6337 and 6329 is associative
LCM of 6329 and 6337 = LCM of 6337 and 6329
1. What is the LCM of 6329 and 6337?
Answer: LCM of 6329 and 6337 is 40106873.
2. What are the Factors of 6329?
Answer: Factors of 6329 are 1, 6329. There are 2 integers that are factors of 6329. The greatest factor of 6329 is 6329.
3. What are the Factors of 6337?
Answer: Factors of 6337 are 1, 6337. There are 2 integers that are factors of 6337. The greatest factor of 6337 is 6337.
4. How to Find the LCM of 6329 and 6337?
Answer:
Least Common Multiple of 6329 and 6337 = 40106873
Step 1: Find the prime factorization of 6329
6329 = 6329
Step 2: Find the prime factorization of 6337
6337 = 6337
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 40106873 = 6329 x 6337
Step 4: Therefore, the least common multiple of 6329 and 6337 is 40106873.