Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 15240 and 15245 the smallest integer that is 46466760 that is divisible by both numbers.
Least Common Multiple (LCM) of 15240 and 15245 is 46466760.
LCM(15240,15245) = 46466760
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 15240 and 15245. First we will calculate the prime factors of 15240 and 15245.
Prime Factorization of 15240
2 | 15240 |
2 | 7620 |
2 | 3810 |
3 | 1905 |
5 | 635 |
127 | 127 |
1 |
Prime factors of 15240 are 2, 3, 5,127. Prime factorization of 15240 in exponential form is:
15240 = 23×31×51×1271
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
Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15245.
LCM(15240,15245) = 23×31×51×1271×30491
LCM(15240,15245) = 46466760
Factors of 15240
List of positive integer factors of 15240 that divides 15240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620, 15240
Factors of 15245
List of positive integer factors of 15245 that divides 15245 without a remainder.
1, 5, 3049, 15245
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15245, than apply into the LCM equation.
GCF(15240,15245) = 5
LCM(15240,15245) = ( 15240 × 15245) / 5
LCM(15240,15245) = 232333800 / 5
LCM(15240,15245) = 46466760
(i) The LCM of 15245 and 15240 is associative
LCM of 15240 and 15245 = LCM of 15245 and 15240
1. What is the LCM of 15240 and 15245?
Answer: LCM of 15240 and 15245 is 46466760.
2. What are the Factors of 15240?
Answer: Factors of 15240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 127, 254, 381, 508, 635, 762, 1016, 1270, 1524, 1905, 2540, 3048, 3810, 5080, 7620, 15240. There are 32 integers that are factors of 15240. The greatest factor of 15240 is 15240.
3. 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.
4. How to Find the LCM of 15240 and 15245?
Answer:
Least Common Multiple of 15240 and 15245 = 46466760
Step 1: Find the prime factorization of 15240
15240 = 2 x 2 x 2 x 3 x 5 x 127
Step 2: Find the prime factorization of 15245
15245 = 5 x 3049
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 46466760 = 2 x 2 x 2 x 3 x 5 x 127 x 3049
Step 4: Therefore, the least common multiple of 15240 and 15245 is 46466760.