Least Common Multiple of 15245 and 15252
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15245 and 15252 the smallest integer that is 232516740 that is divisible by both numbers.
Least Common Multiple (LCM) of 15245 and 15252 is 232516740.
LCM(15245,15252) = 232516740
LCM of 15245 and 15252
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 15245 and 15252 by Prime method
- Least Common Multiple of 15245 and 15252 with GCF Formula
LCM of 15245 and 15252 is 232516740
Least common multiple can be found by multiplying the highest exponent prime factors of 15245 and 15252. First we will calculate the prime factors of 15245 and 15252.
Prime Factorization of 15245
| 5 | 15245 |
| 3049 | 3049 |
| 1 |
Prime factors of 15245 are 5,3049. Prime factorization of 15245 in exponential form is:
15245 = 51×30491
Prime Factorization of 15252
| 2 | 15252 |
| 2 | 7626 |
| 3 | 3813 |
| 31 | 1271 |
| 41 | 41 |
| 1 |
Prime factors of 15252 are 2, 3, 31,41. Prime factorization of 15252 in exponential form is:
15252 = 22×31×311×411
Now multiplying the highest exponent prime factors to calculate the LCM of 15245 and 15252.
LCM(15245,15252) = 22×31×51×311×411×30491
LCM(15245,15252) = 232516740
Factors of 15245
List of positive integer factors of 15245 that divides 15245 without a remainder.
1, 5, 3049, 15245
Factors of 15252
List of positive integer factors of 15252 that divides 15252 without a remainder.
1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252
Least Common Multiple of 15245 and 15252 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15245 and 15252, than apply into the LCM equation.
GCF(15245,15252) = 1
LCM(15245,15252) = ( 15245 × 15252) / 1
LCM(15245,15252) = 232516740 / 1
LCM(15245,15252) = 232516740
Properties of LCM 15245 and 15252
(i) The LCM of 15252 and 15245 is associative
LCM of 15245 and 15252 = LCM of 15252 and 15245
Related Least Common Multiples of 15245
Related Least Common Multiples of 15252
Frequently Asked Questions on LCM of 15245 and 15252
1. What is the LCM of 15245 and 15252?
Answer: LCM of 15245 and 15252 is 232516740.
2. What are the Factors of 15245?
Answer: Factors of 15245 are 1, 5, 3049, 15245. There are 4 integers that are factors of 15245. The greatest factor of 15245 is 15245.
3. What are the Factors of 15252?
Answer: Factors of 15252 are 1, 2, 3, 4, 6, 12, 31, 41, 62, 82, 93, 123, 124, 164, 186, 246, 372, 492, 1271, 2542, 3813, 5084, 7626, 15252. There are 24 integers that are factors of 15252. The greatest factor of 15252 is 15252.
4. How to Find the LCM of 15245 and 15252?
Answer:
Least Common Multiple of 15245 and 15252 = 232516740
Step 1: Find the prime factorization of 15245
15245 = 5 x 3049
Step 2: Find the prime factorization of 15252
15252 = 2 x 2 x 3 x 31 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232516740 = 2 x 2 x 3 x 5 x 31 x 41 x 3049
Step 4: Therefore, the least common multiple of 15245 and 15252 is 232516740.