Least Common Multiple of 300 and 303
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 300 and 303 the smallest integer that is 30300 that is divisible by both numbers.
Least Common Multiple (LCM) of 300 and 303 is 30300.
LCM(300,303) = 30300
LCM of 300 and 303
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 300 and 303 by Prime method
- Least Common Multiple of 300 and 303 with GCF Formula
LCM of 300 and 303 is 30300
Least common multiple can be found by multiplying the highest exponent prime factors of 300 and 303. First we will calculate the prime factors of 300 and 303.
Prime Factorization of 300
| 2 | 300 |
| 2 | 150 |
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
Prime factors of 300 are 2, 3,5. Prime factorization of 300 in exponential form is:
300 = 22×31×52
Prime Factorization of 303
| 3 | 303 |
| 101 | 101 |
| 1 |
Prime factors of 303 are 3,101. Prime factorization of 303 in exponential form is:
303 = 31×1011
Now multiplying the highest exponent prime factors to calculate the LCM of 300 and 303.
LCM(300,303) = 22×31×52×1011
LCM(300,303) = 30300
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1, 3, 101, 303
Least Common Multiple of 300 and 303 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 300 and 303, than apply into the LCM equation.
GCF(300,303) = 3
LCM(300,303) = ( 300 × 303) / 3
LCM(300,303) = 90900 / 3
LCM(300,303) = 30300
Properties of LCM 300 and 303
(i) The LCM of 303 and 300 is associative
LCM of 300 and 303 = LCM of 303 and 300
Related Least Common Multiples of 300
Related Least Common Multiples of 303
Frequently Asked Questions on LCM of 300 and 303
1. What is the LCM of 300 and 303?
Answer: LCM of 300 and 303 is 30300.
2. What are the Factors of 300?
Answer: Factors of 300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300. There are 18 integers that are factors of 300. The greatest factor of 300 is 300.
3. What are the Factors of 303?
Answer: Factors of 303 are 1, 3, 101, 303. There are 4 integers that are factors of 303. The greatest factor of 303 is 303.
4. How to Find the LCM of 300 and 303?
Answer:
Least Common Multiple of 300 and 303 = 30300
Step 1: Find the prime factorization of 300
300 = 2 x 2 x 3 x 5 x 5
Step 2: Find the prime factorization of 303
303 = 3 x 101
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30300 = 2 x 2 x 3 x 5 x 5 x 101
Step 4: Therefore, the least common multiple of 300 and 303 is 30300.
