Least Common Multiple of 321 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 321 and 325 the smallest integer that is 104325 that is divisible by both numbers.
Least Common Multiple (LCM) of 321 and 325 is 104325.
LCM(321,325) = 104325
LCM of 321 and 325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 321 and 325 by Prime method
- Least Common Multiple of 321 and 325 with GCF Formula
LCM of 321 and 325 is 104325
Least common multiple can be found by multiplying the highest exponent prime factors of 321 and 325. First we will calculate the prime factors of 321 and 325.
Prime Factorization of 321
| 3 | 321 |
| 107 | 107 |
| 1 |
Prime factors of 321 are 3,107. Prime factorization of 321 in exponential form is:
321 = 31×1071
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 321 and 325.
LCM(321,325) = 31×52×131×1071
LCM(321,325) = 104325
Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1, 3, 107, 321
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 321 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 321 and 325, than apply into the LCM equation.
GCF(321,325) = 1
LCM(321,325) = ( 321 × 325) / 1
LCM(321,325) = 104325 / 1
LCM(321,325) = 104325
Properties of LCM 321 and 325
(i) The LCM of 325 and 321 is associative
LCM of 321 and 325 = LCM of 325 and 321
Related Least Common Multiples of 321
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 321 and 325
1. What is the LCM of 321 and 325?
Answer: LCM of 321 and 325 is 104325.
2. What are the Factors of 321?
Answer: Factors of 321 are 1, 3, 107, 321. There are 4 integers that are factors of 321. The greatest factor of 321 is 321.
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 321 and 325?
Answer:
Least Common Multiple of 321 and 325 = 104325
Step 1: Find the prime factorization of 321
321 = 3 x 107
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 = 104325 = 3 x 5 x 5 x 13 x 107
Step 4: Therefore, the least common multiple of 321 and 325 is 104325.
