Least Common Multiple of 9329 and 9335
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 9329 and 9335 the smallest integer that is 87086215 that is divisible by both numbers.
Least Common Multiple (LCM) of 9329 and 9335 is 87086215.
LCM(9329,9335) = 87086215
LCM of 9329 and 9335
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 9329 and 9335 by Prime method
- Least Common Multiple of 9329 and 9335 with GCF Formula
LCM of 9329 and 9335 is 87086215
Least common multiple can be found by multiplying the highest exponent prime factors of 9329 and 9335. First we will calculate the prime factors of 9329 and 9335.
Prime Factorization of 9329
| 19 | 9329 |
| 491 | 491 |
| 1 |
Prime factors of 9329 are 19,491. Prime factorization of 9329 in exponential form is:
9329 = 191×4911
Prime Factorization of 9335
| 5 | 9335 |
| 1867 | 1867 |
| 1 |
Prime factors of 9335 are 5,1867. Prime factorization of 9335 in exponential form is:
9335 = 51×18671
Now multiplying the highest exponent prime factors to calculate the LCM of 9329 and 9335.
LCM(9329,9335) = 51×191×4911×18671
LCM(9329,9335) = 87086215
Factors of 9329
List of positive integer factors of 9329 that divides 9329 without a remainder.
1, 19, 491, 9329
Factors of 9335
List of positive integer factors of 9335 that divides 9335 without a remainder.
1, 5, 1867, 9335
Least Common Multiple of 9329 and 9335 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9329 and 9335, than apply into the LCM equation.
GCF(9329,9335) = 1
LCM(9329,9335) = ( 9329 × 9335) / 1
LCM(9329,9335) = 87086215 / 1
LCM(9329,9335) = 87086215
Properties of LCM 9329 and 9335
(i) The LCM of 9335 and 9329 is associative
LCM of 9329 and 9335 = LCM of 9335 and 9329
Related Least Common Multiples of 9329
Related Least Common Multiples of 9335
Frequently Asked Questions on LCM of 9329 and 9335
1. What is the LCM of 9329 and 9335?
Answer: LCM of 9329 and 9335 is 87086215.
2. What are the Factors of 9329?
Answer: Factors of 9329 are 1, 19, 491, 9329. There are 4 integers that are factors of 9329. The greatest factor of 9329 is 9329.
3. What are the Factors of 9335?
Answer: Factors of 9335 are 1, 5, 1867, 9335. There are 4 integers that are factors of 9335. The greatest factor of 9335 is 9335.
4. How to Find the LCM of 9329 and 9335?
Answer:
Least Common Multiple of 9329 and 9335 = 87086215
Step 1: Find the prime factorization of 9329
9329 = 19 x 491
Step 2: Find the prime factorization of 9335
9335 = 5 x 1867
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 87086215 = 5 x 19 x 491 x 1867
Step 4: Therefore, the least common multiple of 9329 and 9335 is 87086215.