Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 6261 and 6266 the smallest integer that is 39231426 that is divisible by both numbers.
Least Common Multiple (LCM) of 6261 and 6266 is 39231426.
LCM(6261,6266) = 39231426
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 6261 and 6266. First we will calculate the prime factors of 6261 and 6266.
Prime Factorization of 6261
3 | 6261 |
2087 | 2087 |
1 |
Prime factors of 6261 are 3,2087. Prime factorization of 6261 in exponential form is:
6261 = 31×20871
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 6261 and 6266.
LCM(6261,6266) = 21×31×131×2411×20871
LCM(6261,6266) = 39231426
Factors of 6261
List of positive integer factors of 6261 that divides 6261 without a remainder.
1, 3, 2087, 6261
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 6261 and 6266, than apply into the LCM equation.
GCF(6261,6266) = 1
LCM(6261,6266) = ( 6261 × 6266) / 1
LCM(6261,6266) = 39231426 / 1
LCM(6261,6266) = 39231426
(i) The LCM of 6266 and 6261 is associative
LCM of 6261 and 6266 = LCM of 6266 and 6261
1. What is the LCM of 6261 and 6266?
Answer: LCM of 6261 and 6266 is 39231426.
2. What are the Factors of 6261?
Answer: Factors of 6261 are 1, 3, 2087, 6261. There are 4 integers that are factors of 6261. The greatest factor of 6261 is 6261.
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 6261 and 6266?
Answer:
Least Common Multiple of 6261 and 6266 = 39231426
Step 1: Find the prime factorization of 6261
6261 = 3 x 2087
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 = 39231426 = 2 x 3 x 13 x 241 x 2087
Step 4: Therefore, the least common multiple of 6261 and 6266 is 39231426.