Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 329 and 335 the smallest integer that is 110215 that is divisible by both numbers.
Least Common Multiple (LCM) of 329 and 335 is 110215.
LCM(329,335) = 110215
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 329 and 335. First we will calculate the prime factors of 329 and 335.
Prime Factorization of 329
7 | 329 |
47 | 47 |
1 |
Prime factors of 329 are 7,47. Prime factorization of 329 in exponential form is:
329 = 71×471
Prime Factorization of 335
5 | 335 |
67 | 67 |
1 |
Prime factors of 335 are 5,67. Prime factorization of 335 in exponential form is:
335 = 51×671
Now multiplying the highest exponent prime factors to calculate the LCM of 329 and 335.
LCM(329,335) = 51×71×471×671
LCM(329,335) = 110215
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1, 7, 47, 329
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1, 5, 67, 335
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 329 and 335, than apply into the LCM equation.
GCF(329,335) = 1
LCM(329,335) = ( 329 × 335) / 1
LCM(329,335) = 110215 / 1
LCM(329,335) = 110215
(i) The LCM of 335 and 329 is associative
LCM of 329 and 335 = LCM of 335 and 329
1. What is the LCM of 329 and 335?
Answer: LCM of 329 and 335 is 110215.
2. What are the Factors of 329?
Answer: Factors of 329 are 1, 7, 47, 329. There are 4 integers that are factors of 329. The greatest factor of 329 is 329.
3. What are the Factors of 335?
Answer: Factors of 335 are 1, 5, 67, 335. There are 4 integers that are factors of 335. The greatest factor of 335 is 335.
4. How to Find the LCM of 329 and 335?
Answer:
Least Common Multiple of 329 and 335 = 110215
Step 1: Find the prime factorization of 329
329 = 7 x 47
Step 2: Find the prime factorization of 335
335 = 5 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 = 110215 = 5 x 7 x 47 x 67
Step 4: Therefore, the least common multiple of 329 and 335 is 110215.