Least Common Multiple of 302 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 302 and 309 the smallest integer that is 93318 that is divisible by both numbers.
Least Common Multiple (LCM) of 302 and 309 is 93318.
LCM(302,309) = 93318
LCM of 302 and 309
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 302 and 309 by Prime method
- Least Common Multiple of 302 and 309 with GCF Formula
LCM of 302 and 309 is 93318
Least common multiple can be found by multiplying the highest exponent prime factors of 302 and 309. First we will calculate the prime factors of 302 and 309.
Prime Factorization of 302
| 2 | 302 |
| 151 | 151 |
| 1 |
Prime factors of 302 are 2,151. Prime factorization of 302 in exponential form is:
302 = 21×1511
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 302 and 309.
LCM(302,309) = 21×31×1031×1511
LCM(302,309) = 93318
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1, 3, 103, 309
Least Common Multiple of 302 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 302 and 309, than apply into the LCM equation.
GCF(302,309) = 1
LCM(302,309) = ( 302 × 309) / 1
LCM(302,309) = 93318 / 1
LCM(302,309) = 93318
Properties of LCM 302 and 309
(i) The LCM of 309 and 302 is associative
LCM of 302 and 309 = LCM of 309 and 302
Related Least Common Multiples of 302
Related Least Common Multiples of 309
Frequently Asked Questions on LCM of 302 and 309
1. What is the LCM of 302 and 309?
Answer: LCM of 302 and 309 is 93318.
2. What are the Factors of 302?
Answer: Factors of 302 are 1, 2, 151, 302. There are 4 integers that are factors of 302. The greatest factor of 302 is 302.
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 302 and 309?
Answer:
Least Common Multiple of 302 and 309 = 93318
Step 1: Find the prime factorization of 302
302 = 2 x 151
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 = 93318 = 2 x 3 x 103 x 151
Step 4: Therefore, the least common multiple of 302 and 309 is 93318.