Least Common Multiple of 15247 and 15253
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15247 and 15253 the smallest integer that is 232562491 that is divisible by both numbers.
Least Common Multiple (LCM) of 15247 and 15253 is 232562491.
LCM(15247,15253) = 232562491
LCM of 15247 and 15253
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15247 and 15253 by Prime method
- Least Common Multiple of 15247 and 15253 with GCF Formula
LCM of 15247 and 15253 is 232562491
Least common multiple can be found by multiplying the highest exponent prime factors of 15247 and 15253. First we will calculate the prime factors of 15247 and 15253.
Prime Factorization of 15247
| 79 | 15247 |
| 193 | 193 |
| 1 |
Prime factors of 15247 are 79,193. Prime factorization of 15247 in exponential form is:
15247 = 791×1931
Prime Factorization of 15253
| 7 | 15253 |
| 2179 | 2179 |
| 1 |
Prime factors of 15253 are 7,2179. Prime factorization of 15253 in exponential form is:
15253 = 71×21791
Now multiplying the highest exponent prime factors to calculate the LCM of 15247 and 15253.
LCM(15247,15253) = 71×791×1931×21791
LCM(15247,15253) = 232562491
Factors of 15247
List of positive integer factors of 15247 that divides 15247 without a remainder.
1, 79, 193, 15247
Factors of 15253
List of positive integer factors of 15253 that divides 15253 without a remainder.
1, 7, 2179, 15253
Least Common Multiple of 15247 and 15253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15247 and 15253, than apply into the LCM equation.
GCF(15247,15253) = 1
LCM(15247,15253) = ( 15247 × 15253) / 1
LCM(15247,15253) = 232562491 / 1
LCM(15247,15253) = 232562491
Properties of LCM 15247 and 15253
(i) The LCM of 15253 and 15247 is associative
LCM of 15247 and 15253 = LCM of 15253 and 15247
Related Least Common Multiples of 15247
Related Least Common Multiples of 15253
Frequently Asked Questions on LCM of 15247 and 15253
1. What is the LCM of 15247 and 15253?
Answer: LCM of 15247 and 15253 is 232562491.
2. What are the Factors of 15247?
Answer: Factors of 15247 are 1, 79, 193, 15247. There are 4 integers that are factors of 15247. The greatest factor of 15247 is 15247.
3. What are the Factors of 15253?
Answer: Factors of 15253 are 1, 7, 2179, 15253. There are 4 integers that are factors of 15253. The greatest factor of 15253 is 15253.
4. How to Find the LCM of 15247 and 15253?
Answer:
Least Common Multiple of 15247 and 15253 = 232562491
Step 1: Find the prime factorization of 15247
15247 = 79 x 193
Step 2: Find the prime factorization of 15253
15253 = 7 x 2179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232562491 = 7 x 79 x 193 x 2179
Step 4: Therefore, the least common multiple of 15247 and 15253 is 232562491.