Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 10303 and 10308 the smallest integer that is 106203324 that is divisible by both numbers.
Least Common Multiple (LCM) of 10303 and 10308 is 106203324.
LCM(10303,10308) = 106203324
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 10303 and 10308. First we will calculate the prime factors of 10303 and 10308.
Prime Factorization of 10303
10303 | 10303 |
1 |
Prime factors of 10303 are 10303. Prime factorization of 10303 in exponential form is:
10303 = 103031
Prime Factorization of 10308
2 | 10308 |
2 | 5154 |
3 | 2577 |
859 | 859 |
1 |
Prime factors of 10308 are 2, 3,859. Prime factorization of 10308 in exponential form is:
10308 = 22×31×8591
Now multiplying the highest exponent prime factors to calculate the LCM of 10303 and 10308.
LCM(10303,10308) = 22×31×8591×103031
LCM(10303,10308) = 106203324
Factors of 10303
List of positive integer factors of 10303 that divides 10303 without a remainder.
1, 10303
Factors of 10308
List of positive integer factors of 10308 that divides 10308 without a remainder.
1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10303 and 10308, than apply into the LCM equation.
GCF(10303,10308) = 1
LCM(10303,10308) = ( 10303 × 10308) / 1
LCM(10303,10308) = 106203324 / 1
LCM(10303,10308) = 106203324
(i) The LCM of 10308 and 10303 is associative
LCM of 10303 and 10308 = LCM of 10308 and 10303
1. What is the LCM of 10303 and 10308?
Answer: LCM of 10303 and 10308 is 106203324.
2. What are the Factors of 10303?
Answer: Factors of 10303 are 1, 10303. There are 2 integers that are factors of 10303. The greatest factor of 10303 is 10303.
3. What are the Factors of 10308?
Answer: Factors of 10308 are 1, 2, 3, 4, 6, 12, 859, 1718, 2577, 3436, 5154, 10308. There are 12 integers that are factors of 10308. The greatest factor of 10308 is 10308.
4. How to Find the LCM of 10303 and 10308?
Answer:
Least Common Multiple of 10303 and 10308 = 106203324
Step 1: Find the prime factorization of 10303
10303 = 10303
Step 2: Find the prime factorization of 10308
10308 = 2 x 2 x 3 x 859
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 106203324 = 2 x 2 x 3 x 859 x 10303
Step 4: Therefore, the least common multiple of 10303 and 10308 is 106203324.