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 6266 the smallest integer that is 19612580 that is divisible by both numbers.
Least Common Multiple (LCM) of 6260 and 6266 is 19612580.
LCM(6260,6266) = 19612580
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 6266. First we will calculate the prime factors of 6260 and 6266.
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 6266
2 | 6266 |
13 | 3133 |
241 | 241 |
1 |
Prime factors of 6266 are 2, 13,241. Prime factorization of 6266 in exponential form is:
6266 = 21×131×2411
Now multiplying the highest exponent prime factors to calculate the LCM of 6260 and 6266.
LCM(6260,6266) = 22×51×131×2411×3131
LCM(6260,6266) = 19612580
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 6266
List of positive integer factors of 6266 that divides 6266 without a remainder.
1, 2, 13, 26, 241, 482, 3133, 6266
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6260 and 6266, than apply into the LCM equation.
GCF(6260,6266) = 2
LCM(6260,6266) = ( 6260 × 6266) / 2
LCM(6260,6266) = 39225160 / 2
LCM(6260,6266) = 19612580
(i) The LCM of 6266 and 6260 is associative
LCM of 6260 and 6266 = LCM of 6266 and 6260
1. What is the LCM of 6260 and 6266?
Answer: LCM of 6260 and 6266 is 19612580.
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 6266?
Answer: Factors of 6266 are 1, 2, 13, 26, 241, 482, 3133, 6266. There are 8 integers that are factors of 6266. The greatest factor of 6266 is 6266.
4. How to Find the LCM of 6260 and 6266?
Answer:
Least Common Multiple of 6260 and 6266 = 19612580
Step 1: Find the prime factorization of 6260
6260 = 2 x 2 x 5 x 313
Step 2: Find the prime factorization of 6266
6266 = 2 x 13 x 241
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19612580 = 2 x 2 x 5 x 13 x 241 x 313
Step 4: Therefore, the least common multiple of 6260 and 6266 is 19612580.