Least Common Multiple of 305 and 309
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 305 and 309 the smallest integer that is 94245 that is divisible by both numbers.
Least Common Multiple (LCM) of 305 and 309 is 94245.
LCM(305,309) = 94245
LCM of 305 and 309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 305 and 309 by Prime method
- Least Common Multiple of 305 and 309 with GCF Formula
LCM of 305 and 309 is 94245
Least common multiple can be found by multiplying the highest exponent prime factors of 305 and 309. First we will calculate the prime factors of 305 and 309.
Prime Factorization of 305
| 5 | 305 |
| 61 | 61 |
| 1 |
Prime factors of 305 are 5,61. Prime factorization of 305 in exponential form is:
305 = 51×611
Prime Factorization of 309
| 3 | 309 |
| 103 | 103 |
| 1 |
Prime factors of 309 are 3,103. Prime factorization of 309 in exponential form is:
309 = 31×1031
Now multiplying the highest exponent prime factors to calculate the LCM of 305 and 309.
LCM(305,309) = 31×51×611×1031
LCM(305,309) = 94245
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Least Common Multiple of 305 and 309 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 305 and 309, than apply into the LCM equation.
GCF(305,309) = 1
LCM(305,309) = ( 305 × 309) / 1
LCM(305,309) = 94245 / 1
LCM(305,309) = 94245
Properties of LCM 305 and 309
(i) The LCM of 309 and 305 is associative
LCM of 305 and 309 = LCM of 309 and 305
Related Least Common Multiples of 305
Related Least Common Multiples of 309
Frequently Asked Questions on LCM of 305 and 309
1. What is the LCM of 305 and 309?
Answer: LCM of 305 and 309 is 94245.
2. What are the Factors of 305?
Answer: Factors of 305 are 1, 5, 61, 305. There are 4 integers that are factors of 305. The greatest factor of 305 is 305.
3. What are the Factors of 309?
Answer: Factors of 309 are 1, 3, 103, 309. There are 4 integers that are factors of 309. The greatest factor of 309 is 309.
4. How to Find the LCM of 305 and 309?
Answer:
Least Common Multiple of 305 and 309 = 94245
Step 1: Find the prime factorization of 305
305 = 5 x 61
Step 2: Find the prime factorization of 309
309 = 3 x 103
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 94245 = 3 x 5 x 61 x 103
Step 4: Therefore, the least common multiple of 305 and 309 is 94245.
