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 4973 the smallest integer that is 24695918 that is divisible by both numbers.
Least Common Multiple (LCM) of 4966 and 4973 is 24695918.
LCM(4966,4973) = 24695918
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 4973. First we will calculate the prime factors of 4966 and 4973.
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 4973
4973 | 4973 |
1 |
Prime factors of 4973 are 4973. Prime factorization of 4973 in exponential form is:
4973 = 49731
Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4973.
LCM(4966,4973) = 21×131×1911×49731
LCM(4966,4973) = 24695918
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 4973
List of positive integer factors of 4973 that divides 4973 without a remainder.
1, 4973
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4966 and 4973, than apply into the LCM equation.
GCF(4966,4973) = 1
LCM(4966,4973) = ( 4966 × 4973) / 1
LCM(4966,4973) = 24695918 / 1
LCM(4966,4973) = 24695918
(i) The LCM of 4973 and 4966 is associative
LCM of 4966 and 4973 = LCM of 4973 and 4966
1. What is the LCM of 4966 and 4973?
Answer: LCM of 4966 and 4973 is 24695918.
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 4973?
Answer: Factors of 4973 are 1, 4973. There are 2 integers that are factors of 4973. The greatest factor of 4973 is 4973.
4. How to Find the LCM of 4966 and 4973?
Answer:
Least Common Multiple of 4966 and 4973 = 24695918
Step 1: Find the prime factorization of 4966
4966 = 2 x 13 x 191
Step 2: Find the prime factorization of 4973
4973 = 4973
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24695918 = 2 x 13 x 191 x 4973
Step 4: Therefore, the least common multiple of 4966 and 4973 is 24695918.