Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4961 and 4966 the smallest integer that is 24636326 that is divisible by both numbers.
Least Common Multiple (LCM) of 4961 and 4966 is 24636326.
LCM(4961,4966) = 24636326
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 4961 and 4966. First we will calculate the prime factors of 4961 and 4966.
Prime Factorization of 4961
11 | 4961 |
11 | 451 |
41 | 41 |
1 |
Prime factors of 4961 are 11,41. Prime factorization of 4961 in exponential form is:
4961 = 112×411
Prime Factorization of 4966
2 | 4966 |
13 | 2483 |
191 | 191 |
1 |
Prime factors of 4966 are 2, 13,191. Prime factorization of 4966 in exponential form is:
4966 = 21×131×1911
Now multiplying the highest exponent prime factors to calculate the LCM of 4961 and 4966.
LCM(4961,4966) = 21×112×131×411×1911
LCM(4961,4966) = 24636326
Factors of 4961
List of positive integer factors of 4961 that divides 4961 without a remainder.
1, 11, 41, 121, 451, 4961
Factors of 4966
List of positive integer factors of 4966 that divides 4966 without a remainder.
1, 2, 13, 26, 191, 382, 2483, 4966
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4961 and 4966, than apply into the LCM equation.
GCF(4961,4966) = 1
LCM(4961,4966) = ( 4961 × 4966) / 1
LCM(4961,4966) = 24636326 / 1
LCM(4961,4966) = 24636326
(i) The LCM of 4966 and 4961 is associative
LCM of 4961 and 4966 = LCM of 4966 and 4961
1. What is the LCM of 4961 and 4966?
Answer: LCM of 4961 and 4966 is 24636326.
2. What are the Factors of 4961?
Answer: Factors of 4961 are 1, 11, 41, 121, 451, 4961. There are 6 integers that are factors of 4961. The greatest factor of 4961 is 4961.
3. What are the Factors of 4966?
Answer: Factors of 4966 are 1, 2, 13, 26, 191, 382, 2483, 4966. There are 8 integers that are factors of 4966. The greatest factor of 4966 is 4966.
4. How to Find the LCM of 4961 and 4966?
Answer:
Least Common Multiple of 4961 and 4966 = 24636326
Step 1: Find the prime factorization of 4961
4961 = 11 x 11 x 41
Step 2: Find the prime factorization of 4966
4966 = 2 x 13 x 191
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24636326 = 2 x 11 x 11 x 13 x 41 x 191
Step 4: Therefore, the least common multiple of 4961 and 4966 is 24636326.