Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2305 and 2308 the smallest integer that is 5319940 that is divisible by both numbers.
Least Common Multiple (LCM) of 2305 and 2308 is 5319940.
LCM(2305,2308) = 5319940
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2305 and 2308. First we will calculate the prime factors of 2305 and 2308.
Prime Factorization of 2305
5 | 2305 |
461 | 461 |
1 |
Prime factors of 2305 are 5,461. Prime factorization of 2305 in exponential form is:
2305 = 51×4611
Prime Factorization of 2308
2 | 2308 |
2 | 1154 |
577 | 577 |
1 |
Prime factors of 2308 are 2,577. Prime factorization of 2308 in exponential form is:
2308 = 22×5771
Now multiplying the highest exponent prime factors to calculate the LCM of 2305 and 2308.
LCM(2305,2308) = 22×51×4611×5771
LCM(2305,2308) = 5319940
Factors of 2305
List of positive integer factors of 2305 that divides 2305 without a remainder.
1, 5, 461, 2305
Factors of 2308
List of positive integer factors of 2308 that divides 2308 without a remainder.
1, 2, 4, 577, 1154, 2308
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2305 and 2308, than apply into the LCM equation.
GCF(2305,2308) = 1
LCM(2305,2308) = ( 2305 × 2308) / 1
LCM(2305,2308) = 5319940 / 1
LCM(2305,2308) = 5319940
(i) The LCM of 2308 and 2305 is associative
LCM of 2305 and 2308 = LCM of 2308 and 2305
1. What is the LCM of 2305 and 2308?
Answer: LCM of 2305 and 2308 is 5319940.
2. What are the Factors of 2305?
Answer: Factors of 2305 are 1, 5, 461, 2305. There are 4 integers that are factors of 2305. The greatest factor of 2305 is 2305.
3. What are the Factors of 2308?
Answer: Factors of 2308 are 1, 2, 4, 577, 1154, 2308. There are 6 integers that are factors of 2308. The greatest factor of 2308 is 2308.
4. How to Find the LCM of 2305 and 2308?
Answer:
Least Common Multiple of 2305 and 2308 = 5319940
Step 1: Find the prime factorization of 2305
2305 = 5 x 461
Step 2: Find the prime factorization of 2308
2308 = 2 x 2 x 577
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5319940 = 2 x 2 x 5 x 461 x 577
Step 4: Therefore, the least common multiple of 2305 and 2308 is 5319940.