Least Common Multiple of 15291 and 15299
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15291 and 15299 the smallest integer that is 233937009 that is divisible by both numbers.
Least Common Multiple (LCM) of 15291 and 15299 is 233937009.
LCM(15291,15299) = 233937009
LCM of 15291 and 15299
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15291 and 15299 by Prime method
- Least Common Multiple of 15291 and 15299 with GCF Formula
LCM of 15291 and 15299 is 233937009
Least common multiple can be found by multiplying the highest exponent prime factors of 15291 and 15299. First we will calculate the prime factors of 15291 and 15299.
Prime Factorization of 15291
| 3 | 15291 |
| 3 | 5097 |
| 1699 | 1699 |
| 1 |
Prime factors of 15291 are 3,1699. Prime factorization of 15291 in exponential form is:
15291 = 32×16991
Prime Factorization of 15299
| 15299 | 15299 |
| 1 |
Prime factors of 15299 are 15299. Prime factorization of 15299 in exponential form is:
15299 = 152991
Now multiplying the highest exponent prime factors to calculate the LCM of 15291 and 15299.
LCM(15291,15299) = 32×16991×152991
LCM(15291,15299) = 233937009
Factors of 15291
List of positive integer factors of 15291 that divides 15291 without a remainder.
1, 3, 9, 1699, 5097, 15291
Factors of 15299
List of positive integer factors of 15299 that divides 15299 without a remainder.
1, 15299
Least Common Multiple of 15291 and 15299 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15291 and 15299, than apply into the LCM equation.
GCF(15291,15299) = 1
LCM(15291,15299) = ( 15291 × 15299) / 1
LCM(15291,15299) = 233937009 / 1
LCM(15291,15299) = 233937009
Properties of LCM 15291 and 15299
(i) The LCM of 15299 and 15291 is associative
LCM of 15291 and 15299 = LCM of 15299 and 15291
Related Least Common Multiples of 15291
Related Least Common Multiples of 15299
Frequently Asked Questions on LCM of 15291 and 15299
1. What is the LCM of 15291 and 15299?
Answer: LCM of 15291 and 15299 is 233937009.
2. What are the Factors of 15291?
Answer: Factors of 15291 are 1, 3, 9, 1699, 5097, 15291. There are 6 integers that are factors of 15291. The greatest factor of 15291 is 15291.
3. What are the Factors of 15299?
Answer: Factors of 15299 are 1, 15299. There are 2 integers that are factors of 15299. The greatest factor of 15299 is 15299.
4. How to Find the LCM of 15291 and 15299?
Answer:
Least Common Multiple of 15291 and 15299 = 233937009
Step 1: Find the prime factorization of 15291
15291 = 3 x 3 x 1699
Step 2: Find the prime factorization of 15299
15299 = 15299
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 233937009 = 3 x 3 x 1699 x 15299
Step 4: Therefore, the least common multiple of 15291 and 15299 is 233937009.