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 15253 the smallest integer that is 232531985 that is divisible by both numbers.
Least Common Multiple (LCM) of 15245 and 15253 is 232531985.
LCM(15245,15253) = 232531985
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 15245 and 15253. First we will calculate the prime factors of 15245 and 15253.
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 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 15245 and 15253.
LCM(15245,15253) = 51×71×21791×30491
LCM(15245,15253) = 232531985
Factors of 15245
List of positive integer factors of 15245 that divides 15245 without a remainder.
1, 5, 3049, 15245
Factors of 15253
List of positive integer factors of 15253 that divides 15253 without a remainder.
1, 7, 2179, 15253
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15245 and 15253, than apply into the LCM equation.
GCF(15245,15253) = 1
LCM(15245,15253) = ( 15245 × 15253) / 1
LCM(15245,15253) = 232531985 / 1
LCM(15245,15253) = 232531985
(i) The LCM of 15253 and 15245 is associative
LCM of 15245 and 15253 = LCM of 15253 and 15245
1. What is the LCM of 15245 and 15253?
Answer: LCM of 15245 and 15253 is 232531985.
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 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 15245 and 15253?
Answer:
Least Common Multiple of 15245 and 15253 = 232531985
Step 1: Find the prime factorization of 15245
15245 = 5 x 3049
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 = 232531985 = 5 x 7 x 2179 x 3049
Step 4: Therefore, the least common multiple of 15245 and 15253 is 232531985.