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 15246 the smallest integer that is 38724840 that is divisible by both numbers.
Least Common Multiple (LCM) of 15240 and 15246 is 38724840.
LCM(15240,15246) = 38724840
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 15246. First we will calculate the prime factors of 15240 and 15246.
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 15246
2 | 15246 |
3 | 7623 |
3 | 2541 |
7 | 847 |
11 | 121 |
11 | 11 |
1 |
Prime factors of 15246 are 2, 3, 7,11. Prime factorization of 15246 in exponential form is:
15246 = 21×32×71×112
Now multiplying the highest exponent prime factors to calculate the LCM of 15240 and 15246.
LCM(15240,15246) = 23×32×51×71×112×1271
LCM(15240,15246) = 38724840
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 15246
List of positive integer factors of 15246 that divides 15246 without a remainder.
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15240 and 15246, than apply into the LCM equation.
GCF(15240,15246) = 6
LCM(15240,15246) = ( 15240 × 15246) / 6
LCM(15240,15246) = 232349040 / 6
LCM(15240,15246) = 38724840
(i) The LCM of 15246 and 15240 is associative
LCM of 15240 and 15246 = LCM of 15246 and 15240
1. What is the LCM of 15240 and 15246?
Answer: LCM of 15240 and 15246 is 38724840.
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 15246?
Answer: Factors of 15246 are 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 33, 42, 63, 66, 77, 99, 121, 126, 154, 198, 231, 242, 363, 462, 693, 726, 847, 1089, 1386, 1694, 2178, 2541, 5082, 7623, 15246. There are 36 integers that are factors of 15246. The greatest factor of 15246 is 15246.
4. How to Find the LCM of 15240 and 15246?
Answer:
Least Common Multiple of 15240 and 15246 = 38724840
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 15246
15246 = 2 x 3 x 3 x 7 x 11 x 11
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 38724840 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 11 x 11 x 127
Step 4: Therefore, the least common multiple of 15240 and 15246 is 38724840.