Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6260 and 6265 the smallest integer that is 7843780 that is divisible by both numbers.
Least Common Multiple (LCM) of 6260 and 6265 is 7843780.
LCM(6260,6265) = 7843780
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 6260 and 6265. First we will calculate the prime factors of 6260 and 6265.
Prime Factorization of 6260
2 | 6260 |
2 | 3130 |
5 | 1565 |
313 | 313 |
1 |
Prime factors of 6260 are 2, 5,313. Prime factorization of 6260 in exponential form is:
6260 = 22×51×3131
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
Now multiplying the highest exponent prime factors to calculate the LCM of 6260 and 6265.
LCM(6260,6265) = 22×51×71×1791×3131
LCM(6260,6265) = 7843780
Factors of 6260
List of positive integer factors of 6260 that divides 6260 without a remainder.
1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260
Factors of 6265
List of positive integer factors of 6265 that divides 6265 without a remainder.
1, 5, 7, 35, 179, 895, 1253, 6265
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6260 and 6265, than apply into the LCM equation.
GCF(6260,6265) = 5
LCM(6260,6265) = ( 6260 × 6265) / 5
LCM(6260,6265) = 39218900 / 5
LCM(6260,6265) = 7843780
(i) The LCM of 6265 and 6260 is associative
LCM of 6260 and 6265 = LCM of 6265 and 6260
1. What is the LCM of 6260 and 6265?
Answer: LCM of 6260 and 6265 is 7843780.
2. What are the Factors of 6260?
Answer: Factors of 6260 are 1, 2, 4, 5, 10, 20, 313, 626, 1252, 1565, 3130, 6260. There are 12 integers that are factors of 6260. The greatest factor of 6260 is 6260.
3. 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.
4. How to Find the LCM of 6260 and 6265?
Answer:
Least Common Multiple of 6260 and 6265 = 7843780
Step 1: Find the prime factorization of 6260
6260 = 2 x 2 x 5 x 313
Step 2: Find the prime factorization of 6265
6265 = 5 x 7 x 179
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 7843780 = 2 x 2 x 5 x 7 x 179 x 313
Step 4: Therefore, the least common multiple of 6260 and 6265 is 7843780.