Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4966 and 4971 the smallest integer that is 24685986 that is divisible by both numbers.
Least Common Multiple (LCM) of 4966 and 4971 is 24685986.
LCM(4966,4971) = 24685986
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 4966 and 4971. First we will calculate the prime factors of 4966 and 4971.
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
Prime Factorization of 4971
3 | 4971 |
1657 | 1657 |
1 |
Prime factors of 4971 are 3,1657. Prime factorization of 4971 in exponential form is:
4971 = 31×16571
Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4971.
LCM(4966,4971) = 21×31×131×1911×16571
LCM(4966,4971) = 24685986
Factors of 4966
List of positive integer factors of 4966 that divides 4966 without a remainder.
1, 2, 13, 26, 191, 382, 2483, 4966
Factors of 4971
List of positive integer factors of 4971 that divides 4971 without a remainder.
1, 3, 1657, 4971
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4966 and 4971, than apply into the LCM equation.
GCF(4966,4971) = 1
LCM(4966,4971) = ( 4966 × 4971) / 1
LCM(4966,4971) = 24685986 / 1
LCM(4966,4971) = 24685986
(i) The LCM of 4971 and 4966 is associative
LCM of 4966 and 4971 = LCM of 4971 and 4966
1. What is the LCM of 4966 and 4971?
Answer: LCM of 4966 and 4971 is 24685986.
2. 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.
3. What are the Factors of 4971?
Answer: Factors of 4971 are 1, 3, 1657, 4971. There are 4 integers that are factors of 4971. The greatest factor of 4971 is 4971.
4. How to Find the LCM of 4966 and 4971?
Answer:
Least Common Multiple of 4966 and 4971 = 24685986
Step 1: Find the prime factorization of 4966
4966 = 2 x 13 x 191
Step 2: Find the prime factorization of 4971
4971 = 3 x 1657
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24685986 = 2 x 3 x 13 x 191 x 1657
Step 4: Therefore, the least common multiple of 4966 and 4971 is 24685986.