Least Common Multiple of 318 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 318 and 325 the smallest integer that is 103350 that is divisible by both numbers.
Least Common Multiple (LCM) of 318 and 325 is 103350.
LCM(318,325) = 103350
LCM of 318 and 325
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 318 and 325 by Prime method
- Least Common Multiple of 318 and 325 with GCF Formula
LCM of 318 and 325 is 103350
Least common multiple can be found by multiplying the highest exponent prime factors of 318 and 325. First we will calculate the prime factors of 318 and 325.
Prime Factorization of 318
| 2 | 318 |
| 3 | 159 |
| 53 | 53 |
| 1 |
Prime factors of 318 are 2, 3,53. Prime factorization of 318 in exponential form is:
318 = 21×31×531
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 318 and 325.
LCM(318,325) = 21×31×52×131×531
LCM(318,325) = 103350
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
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 318 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 318 and 325, than apply into the LCM equation.
GCF(318,325) = 1
LCM(318,325) = ( 318 × 325) / 1
LCM(318,325) = 103350 / 1
LCM(318,325) = 103350
Properties of LCM 318 and 325
(i) The LCM of 325 and 318 is associative
LCM of 318 and 325 = LCM of 325 and 318
Related Least Common Multiples of 318
Related Least Common Multiples of 325
Frequently Asked Questions on LCM of 318 and 325
1. What is the LCM of 318 and 325?
Answer: LCM of 318 and 325 is 103350.
2. What are the Factors of 318?
Answer: Factors of 318 are 1, 2, 3, 6, 53, 106, 159, 318. There are 8 integers that are factors of 318. The greatest factor of 318 is 318.
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 318 and 325?
Answer:
Least Common Multiple of 318 and 325 = 103350
Step 1: Find the prime factorization of 318
318 = 2 x 3 x 53
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 = 103350 = 2 x 3 x 5 x 5 x 13 x 53
Step 4: Therefore, the least common multiple of 318 and 325 is 103350.
