Least Common Multiple of 322 and 325
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 322 and 325 the smallest integer that is 104650 that is divisible by both numbers.
Least Common Multiple (LCM) of 322 and 325 is 104650.
LCM(322,325) = 104650
LCM of 322 and 325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 322 and 325 by Prime method
- Least Common Multiple of 322 and 325 with GCF Formula
LCM of 322 and 325 is 104650
Least common multiple can be found by multiplying the highest exponent prime factors of 322 and 325. First we will calculate the prime factors of 322 and 325.
Prime Factorization of 322
| 2 | 322 |
| 7 | 161 |
| 23 | 23 |
| 1 |
Prime factors of 322 are 2, 7,23. Prime factorization of 322 in exponential form is:
322 = 21×71×231
Prime Factorization of 325
| 5 | 325 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 325 are 5,13. Prime factorization of 325 in exponential form is:
325 = 52×131
Now multiplying the highest exponent prime factors to calculate the LCM of 322 and 325.
LCM(322,325) = 21×52×71×131×231
LCM(322,325) = 104650
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Least Common Multiple of 322 and 325 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 322 and 325, than apply into the LCM equation.
GCF(322,325) = 1
LCM(322,325) = ( 322 × 325) / 1
LCM(322,325) = 104650 / 1
LCM(322,325) = 104650
Properties of LCM 322 and 325
(i) The LCM of 325 and 322 is associative
LCM of 322 and 325 = LCM of 325 and 322
Related Least Common Multiples of 322
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 322 and 325
1. What is the LCM of 322 and 325?
Answer: LCM of 322 and 325 is 104650.
2. What are the Factors of 322?
Answer: Factors of 322 are 1, 2, 7, 14, 23, 46, 161, 322. There are 8 integers that are factors of 322. The greatest factor of 322 is 322.
3. What are the Factors of 325?
Answer: Factors of 325 are 1, 5, 13, 25, 65, 325. There are 6 integers that are factors of 325. The greatest factor of 325 is 325.
4. How to Find the LCM of 322 and 325?
Answer:
Least Common Multiple of 322 and 325 = 104650
Step 1: Find the prime factorization of 322
322 = 2 x 7 x 23
Step 2: Find the prime factorization of 325
325 = 5 x 5 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 104650 = 2 x 5 x 5 x 7 x 13 x 23
Step 4: Therefore, the least common multiple of 322 and 325 is 104650.