Least Common Multiple of 15247 and 15255
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 15255 the smallest integer that is 232592985 that is divisible by both numbers.
Least Common Multiple (LCM) of 15247 and 15255 is 232592985.
LCM(15247,15255) = 232592985
LCM of 15247 and 15255
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15247 and 15255 by Prime method
- Least Common Multiple of 15247 and 15255 with GCF Formula
LCM of 15247 and 15255 is 232592985
Least common multiple can be found by multiplying the highest exponent prime factors of 15247 and 15255. First we will calculate the prime factors of 15247 and 15255.
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 15255
| 3 | 15255 |
| 3 | 5085 |
| 3 | 1695 |
| 5 | 565 |
| 113 | 113 |
| 1 |
Prime factors of 15255 are 3, 5,113. Prime factorization of 15255 in exponential form is:
15255 = 33×51×1131
Now multiplying the highest exponent prime factors to calculate the LCM of 15247 and 15255.
LCM(15247,15255) = 33×51×791×1131×1931
LCM(15247,15255) = 232592985
Factors of 15247
List of positive integer factors of 15247 that divides 15247 without a remainder.
1, 79, 193, 15247
Factors of 15255
List of positive integer factors of 15255 that divides 15255 without a remainder.
1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255
Least Common Multiple of 15247 and 15255 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 15255, than apply into the LCM equation.
GCF(15247,15255) = 1
LCM(15247,15255) = ( 15247 × 15255) / 1
LCM(15247,15255) = 232592985 / 1
LCM(15247,15255) = 232592985
Properties of LCM 15247 and 15255
(i) The LCM of 15255 and 15247 is associative
LCM of 15247 and 15255 = LCM of 15255 and 15247
Related Least Common Multiples of 15247
Related Least Common Multiples of 15255
Frequently Asked Questions on LCM of 15247 and 15255
1. What is the LCM of 15247 and 15255?
Answer: LCM of 15247 and 15255 is 232592985.
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 15255?
Answer: Factors of 15255 are 1, 3, 5, 9, 15, 27, 45, 113, 135, 339, 565, 1017, 1695, 3051, 5085, 15255. There are 16 integers that are factors of 15255. The greatest factor of 15255 is 15255.
4. How to Find the LCM of 15247 and 15255?
Answer:
Least Common Multiple of 15247 and 15255 = 232592985
Step 1: Find the prime factorization of 15247
15247 = 79 x 193
Step 2: Find the prime factorization of 15255
15255 = 3 x 3 x 3 x 5 x 113
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232592985 = 3 x 3 x 3 x 5 x 79 x 113 x 193
Step 4: Therefore, the least common multiple of 15247 and 15255 is 232592985.