Least Common Multiple of 8303 and 8310
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 8303 and 8310 the smallest integer that is 68997930 that is divisible by both numbers.
Least Common Multiple (LCM) of 8303 and 8310 is 68997930.
LCM(8303,8310) = 68997930
LCM of 8303 and 8310
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 8303 and 8310 by Prime method
- Least Common Multiple of 8303 and 8310 with GCF Formula
LCM of 8303 and 8310 is 68997930
Least common multiple can be found by multiplying the highest exponent prime factors of 8303 and 8310. First we will calculate the prime factors of 8303 and 8310.
Prime Factorization of 8303
| 19 | 8303 |
| 19 | 437 |
| 23 | 23 |
| 1 |
Prime factors of 8303 are 19,23. Prime factorization of 8303 in exponential form is:
8303 = 192×231
Prime Factorization of 8310
| 2 | 8310 |
| 3 | 4155 |
| 5 | 1385 |
| 277 | 277 |
| 1 |
Prime factors of 8310 are 2, 3, 5,277. Prime factorization of 8310 in exponential form is:
8310 = 21×31×51×2771
Now multiplying the highest exponent prime factors to calculate the LCM of 8303 and 8310.
LCM(8303,8310) = 21×31×51×192×231×2771
LCM(8303,8310) = 68997930
Factors of 8303
List of positive integer factors of 8303 that divides 8303 without a remainder.
1, 19, 23, 361, 437, 8303
Factors of 8310
List of positive integer factors of 8310 that divides 8310 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
Least Common Multiple of 8303 and 8310 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8303 and 8310, than apply into the LCM equation.
GCF(8303,8310) = 1
LCM(8303,8310) = ( 8303 × 8310) / 1
LCM(8303,8310) = 68997930 / 1
LCM(8303,8310) = 68997930
Properties of LCM 8303 and 8310
(i) The LCM of 8310 and 8303 is associative
LCM of 8303 and 8310 = LCM of 8310 and 8303
Related Least Common Multiples of 8303
Related Least Common Multiples of 8310
Frequently Asked Questions on LCM of 8303 and 8310
1. What is the LCM of 8303 and 8310?
Answer: LCM of 8303 and 8310 is 68997930.
2. What are the Factors of 8303?
Answer: Factors of 8303 are 1, 19, 23, 361, 437, 8303. There are 6 integers that are factors of 8303. The greatest factor of 8303 is 8303.
3. What are the Factors of 8310?
Answer: Factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310. There are 16 integers that are factors of 8310. The greatest factor of 8310 is 8310.
4. How to Find the LCM of 8303 and 8310?
Answer:
Least Common Multiple of 8303 and 8310 = 68997930
Step 1: Find the prime factorization of 8303
8303 = 19 x 19 x 23
Step 2: Find the prime factorization of 8310
8310 = 2 x 3 x 5 x 277
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 68997930 = 2 x 3 x 5 x 19 x 19 x 23 x 277
Step 4: Therefore, the least common multiple of 8303 and 8310 is 68997930.