Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6265 and 6270 the smallest integer that is 7856310 that is divisible by both numbers.
Least Common Multiple (LCM) of 6265 and 6270 is 7856310.
LCM(6265,6270) = 7856310
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 6265 and 6270. First we will calculate the prime factors of 6265 and 6270.
Prime Factorization of 6265
5 | 6265 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 6265 are 5, 7,179. Prime factorization of 6265 in exponential form is:
6265 = 51×71×1791
Prime Factorization of 6270
2 | 6270 |
3 | 3135 |
5 | 1045 |
11 | 209 |
19 | 19 |
1 |
Prime factors of 6270 are 2, 3, 5, 11,19. Prime factorization of 6270 in exponential form is:
6270 = 21×31×51×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 6265 and 6270.
LCM(6265,6270) = 21×31×51×71×111×191×1791
LCM(6265,6270) = 7856310
Factors of 6265
List of positive integer factors of 6265 that divides 6265 without a remainder.
1, 5, 7, 35, 179, 895, 1253, 6265
Factors of 6270
List of positive integer factors of 6270 that divides 6270 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6265 and 6270, than apply into the LCM equation.
GCF(6265,6270) = 5
LCM(6265,6270) = ( 6265 × 6270) / 5
LCM(6265,6270) = 39281550 / 5
LCM(6265,6270) = 7856310
(i) The LCM of 6270 and 6265 is associative
LCM of 6265 and 6270 = LCM of 6270 and 6265
1. What is the LCM of 6265 and 6270?
Answer: LCM of 6265 and 6270 is 7856310.
2. What are the Factors of 6265?
Answer: Factors of 6265 are 1, 5, 7, 35, 179, 895, 1253, 6265. There are 8 integers that are factors of 6265. The greatest factor of 6265 is 6265.
3. What are the Factors of 6270?
Answer: Factors of 6270 are 1, 2, 3, 5, 6, 10, 11, 15, 19, 22, 30, 33, 38, 55, 57, 66, 95, 110, 114, 165, 190, 209, 285, 330, 418, 570, 627, 1045, 1254, 2090, 3135, 6270. There are 32 integers that are factors of 6270. The greatest factor of 6270 is 6270.
4. How to Find the LCM of 6265 and 6270?
Answer:
Least Common Multiple of 6265 and 6270 = 7856310
Step 1: Find the prime factorization of 6265
6265 = 5 x 7 x 179
Step 2: Find the prime factorization of 6270
6270 = 2 x 3 x 5 x 11 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7856310 = 2 x 3 x 5 x 7 x 11 x 19 x 179
Step 4: Therefore, the least common multiple of 6265 and 6270 is 7856310.