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 15247 the smallest integer that is 232364280 that is divisible by both numbers.
Least Common Multiple (LCM) of 15240 and 15247 is 232364280.
LCM(15240,15247) = 232364280
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 15247. First we will calculate the prime factors of 15240 and 15247.
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 15247
79 | 15247 |
193 | 193 |
1 |
Prime factors of 15247 are 79,193. Prime factorization of 15247 in exponential form is:
15247 = 791×1931
Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15247.
LCM(15240,15247) = 23×31×51×791×1271×1931
LCM(15240,15247) = 232364280
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 15247
List of positive integer factors of 15247 that divides 15247 without a remainder.
1, 79, 193, 15247
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15247, than apply into the LCM equation.
GCF(15240,15247) = 1
LCM(15240,15247) = ( 15240 × 15247) / 1
LCM(15240,15247) = 232364280 / 1
LCM(15240,15247) = 232364280
(i) The LCM of 15247 and 15240 is associative
LCM of 15240 and 15247 = LCM of 15247 and 15240
1. What is the LCM of 15240 and 15247?
Answer: LCM of 15240 and 15247 is 232364280.
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 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.
4. How to Find the LCM of 15240 and 15247?
Answer:
Least Common Multiple of 15240 and 15247 = 232364280
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 15247
15247 = 79 x 193
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 232364280 = 2 x 2 x 2 x 3 x 5 x 79 x 127 x 193
Step 4: Therefore, the least common multiple of 15240 and 15247 is 232364280.