Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15248 and 15254 the smallest integer that is 116296496 that is divisible by both numbers.
Least Common Multiple (LCM) of 15248 and 15254 is 116296496.
LCM(15248,15254) = 116296496
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 15248 and 15254. First we will calculate the prime factors of 15248 and 15254.
Prime Factorization of 15248
2 | 15248 |
2 | 7624 |
2 | 3812 |
2 | 1906 |
953 | 953 |
1 |
Prime factors of 15248 are 2,953. Prime factorization of 15248 in exponential form is:
15248 = 24×9531
Prime Factorization of 15254
2 | 15254 |
29 | 7627 |
263 | 263 |
1 |
Prime factors of 15254 are 2, 29,263. Prime factorization of 15254 in exponential form is:
15254 = 21×291×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 15248 and 15254.
LCM(15248,15254) = 24×291×2631×9531
LCM(15248,15254) = 116296496
Factors of 15248
List of positive integer factors of 15248 that divides 15248 without a remainder.
1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248
Factors of 15254
List of positive integer factors of 15254 that divides 15254 without a remainder.
1, 2, 29, 58, 263, 526, 7627, 15254
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15248 and 15254, than apply into the LCM equation.
GCF(15248,15254) = 2
LCM(15248,15254) = ( 15248 × 15254) / 2
LCM(15248,15254) = 232592992 / 2
LCM(15248,15254) = 116296496
(i) The LCM of 15254 and 15248 is associative
LCM of 15248 and 15254 = LCM of 15254 and 15248
1. What is the LCM of 15248 and 15254?
Answer: LCM of 15248 and 15254 is 116296496.
2. What are the Factors of 15248?
Answer: Factors of 15248 are 1, 2, 4, 8, 16, 953, 1906, 3812, 7624, 15248. There are 10 integers that are factors of 15248. The greatest factor of 15248 is 15248.
3. What are the Factors of 15254?
Answer: Factors of 15254 are 1, 2, 29, 58, 263, 526, 7627, 15254. There are 8 integers that are factors of 15254. The greatest factor of 15254 is 15254.
4. How to Find the LCM of 15248 and 15254?
Answer:
Least Common Multiple of 15248 and 15254 = 116296496
Step 1: Find the prime factorization of 15248
15248 = 2 x 2 x 2 x 2 x 953
Step 2: Find the prime factorization of 15254
15254 = 2 x 29 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 116296496 = 2 x 2 x 2 x 2 x 29 x 263 x 953
Step 4: Therefore, the least common multiple of 15248 and 15254 is 116296496.