Least Common Multiple of 15277 and 15283
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15277 and 15283 the smallest integer that is 233478391 that is divisible by both numbers.
Least Common Multiple (LCM) of 15277 and 15283 is 233478391.
LCM(15277,15283) = 233478391
LCM of 15277 and 15283
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15277 and 15283 by Prime method
- Least Common Multiple of 15277 and 15283 with GCF Formula
LCM of 15277 and 15283 is 233478391
Least common multiple can be found by multiplying the highest exponent prime factors of 15277 and 15283. First we will calculate the prime factors of 15277 and 15283.
Prime Factorization of 15277
| 15277 | 15277 |
| 1 |
Prime factors of 15277 are 15277. Prime factorization of 15277 in exponential form is:
15277 = 152771
Prime Factorization of 15283
| 17 | 15283 |
| 29 | 899 |
| 31 | 31 |
| 1 |
Prime factors of 15283 are 17, 29,31. Prime factorization of 15283 in exponential form is:
15283 = 171×291×311
Now multiplying the highest exponent prime factors to calculate the LCM of 15277 and 15283.
LCM(15277,15283) = 171×291×311×152771
LCM(15277,15283) = 233478391
Factors of 15277
List of positive integer factors of 15277 that divides 15277 without a remainder.
1, 15277
Factors of 15283
List of positive integer factors of 15283 that divides 15283 without a remainder.
1, 17, 29, 31, 493, 527, 899, 15283
Least Common Multiple of 15277 and 15283 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15277 and 15283, than apply into the LCM equation.
GCF(15277,15283) = 1
LCM(15277,15283) = ( 15277 × 15283) / 1
LCM(15277,15283) = 233478391 / 1
LCM(15277,15283) = 233478391
Properties of LCM 15277 and 15283
(i) The LCM of 15283 and 15277 is associative
LCM of 15277 and 15283 = LCM of 15283 and 15277
Related Least Common Multiples of 15277
Related Least Common Multiples of 15283
Frequently Asked Questions on LCM of 15277 and 15283
1. What is the LCM of 15277 and 15283?
Answer: LCM of 15277 and 15283 is 233478391.
2. What are the Factors of 15277?
Answer: Factors of 15277 are 1, 15277. There are 2 integers that are factors of 15277. The greatest factor of 15277 is 15277.
3. What are the Factors of 15283?
Answer: Factors of 15283 are 1, 17, 29, 31, 493, 527, 899, 15283. There are 8 integers that are factors of 15283. The greatest factor of 15283 is 15283.
4. How to Find the LCM of 15277 and 15283?
Answer:
Least Common Multiple of 15277 and 15283 = 233478391
Step 1: Find the prime factorization of 15277
15277 = 15277
Step 2: Find the prime factorization of 15283
15283 = 17 x 29 x 31
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 233478391 = 17 x 29 x 31 x 15277
Step 4: Therefore, the least common multiple of 15277 and 15283 is 233478391.