Least Common Multiple of 300 and 301
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 301 the smallest integer that is 90300 that is divisible by both numbers.
Least Common Multiple (LCM) of 300 and 301 is 90300.
LCM(300,301) = 90300
LCM of 300 and 301
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 300 and 301 by Prime method
- Least Common Multiple of 300 and 301 with GCF Formula
LCM of 300 and 301 is 90300
Least common multiple can be found by multiplying the highest exponent prime factors of 300 and 301. First we will calculate the prime factors of 300 and 301.
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 301
| 7 | 301 |
| 43 | 43 |
| 1 |
Prime factors of 301 are 7,43. Prime factorization of 301 in exponential form is:
301 = 71×431
Now multiplying the highest exponent prime factors to calculate the LCM of 300 and 301.
LCM(300,301) = 22×31×52×71×431
LCM(300,301) = 90300
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 301
List of positive integer factors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Least Common Multiple of 300 and 301 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 301, than apply into the LCM equation.
GCF(300,301) = 1
LCM(300,301) = ( 300 × 301) / 1
LCM(300,301) = 90300 / 1
LCM(300,301) = 90300
Properties of LCM 300 and 301
(i) The LCM of 301 and 300 is associative
LCM of 300 and 301 = LCM of 301 and 300
Related Least Common Multiples of 300
Related Least Common Multiples of 301
Frequently Asked Questions on LCM of 300 and 301
1. What is the LCM of 300 and 301?
Answer: LCM of 300 and 301 is 90300.
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 301?
Answer: Factors of 301 are 1, 7, 43, 301. There are 4 integers that are factors of 301. The greatest factor of 301 is 301.
4. How to Find the LCM of 300 and 301?
Answer:
Least Common Multiple of 300 and 301 = 90300
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 301
301 = 7 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 90300 = 2 x 2 x 3 x 5 x 5 x 7 x 43
Step 4: Therefore, the least common multiple of 300 and 301 is 90300.
