Least Common Multiple of 299 and 300
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 299 and 300 the smallest integer that is 89700 that is divisible by both numbers.
Least Common Multiple (LCM) of 299 and 300 is 89700.
LCM(299,300) = 89700
LCM of 299 and 300
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 299 and 300 by Prime method
- Least Common Multiple of 299 and 300 with GCF Formula
LCM of 299 and 300 is 89700
Least common multiple can be found by multiplying the highest exponent prime factors of 299 and 300. First we will calculate the prime factors of 299 and 300.
Prime Factorization of 299
| 13 | 299 |
| 23 | 23 |
| 1 |
Prime factors of 299 are 13,23. Prime factorization of 299 in exponential form is:
299 = 131×231
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
Now multiplying the highest exponent prime factors to calculate the LCM of 299 and 300.
LCM(299,300) = 22×31×52×131×231
LCM(299,300) = 89700
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1, 13, 23, 299
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
Least Common Multiple of 299 and 300 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 299 and 300, than apply into the LCM equation.
GCF(299,300) = 1
LCM(299,300) = ( 299 × 300) / 1
LCM(299,300) = 89700 / 1
LCM(299,300) = 89700
Properties of LCM 299 and 300
(i) The LCM of 300 and 299 is associative
LCM of 299 and 300 = LCM of 300 and 299
Related Least Common Multiples of 299
Related Least Common Multiples of 300
Frequently Asked Questions on LCM of 299 and 300
1. What is the LCM of 299 and 300?
Answer: LCM of 299 and 300 is 89700.
2. What are the Factors of 299?
Answer: Factors of 299 are 1, 13, 23, 299. There are 4 integers that are factors of 299. The greatest factor of 299 is 299.
3. 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.
4. How to Find the LCM of 299 and 300?
Answer:
Least Common Multiple of 299 and 300 = 89700
Step 1: Find the prime factorization of 299
299 = 13 x 23
Step 2: Find the prime factorization of 300
300 = 2 x 2 x 3 x 5 x 5
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 89700 = 2 x 2 x 3 x 5 x 5 x 13 x 23
Step 4: Therefore, the least common multiple of 299 and 300 is 89700.
