Least Common Multiple of 4947 and 4955
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4947 and 4955 the smallest integer that is 24512385 that is divisible by both numbers.
Least Common Multiple (LCM) of 4947 and 4955 is 24512385.
LCM(4947,4955) = 24512385
LCM of 4947 and 4955
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4947 and 4955 by Prime method
- Least Common Multiple of 4947 and 4955 with GCF Formula
LCM of 4947 and 4955 is 24512385
Least common multiple can be found by multiplying the highest exponent prime factors of 4947 and 4955. First we will calculate the prime factors of 4947 and 4955.
Prime Factorization of 4947
| 3 | 4947 |
| 17 | 1649 |
| 97 | 97 |
| 1 |
Prime factors of 4947 are 3, 17,97. Prime factorization of 4947 in exponential form is:
4947 = 31×171×971
Prime Factorization of 4955
| 5 | 4955 |
| 991 | 991 |
| 1 |
Prime factors of 4955 are 5,991. Prime factorization of 4955 in exponential form is:
4955 = 51×9911
Now multiplying the highest exponent prime factors to calculate the LCM of 4947 and 4955.
LCM(4947,4955) = 31×51×171×971×9911
LCM(4947,4955) = 24512385
Factors of 4947
List of positive integer factors of 4947 that divides 4947 without a remainder.
1, 3, 17, 51, 97, 291, 1649, 4947
Factors of 4955
List of positive integer factors of 4955 that divides 4955 without a remainder.
1, 5, 991, 4955
Least Common Multiple of 4947 and 4955 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4947 and 4955, than apply into the LCM equation.
GCF(4947,4955) = 1
LCM(4947,4955) = ( 4947 × 4955) / 1
LCM(4947,4955) = 24512385 / 1
LCM(4947,4955) = 24512385
Properties of LCM 4947 and 4955
(i) The LCM of 4955 and 4947 is associative
LCM of 4947 and 4955 = LCM of 4955 and 4947
Related Least Common Multiples of 4947
Related Least Common Multiples of 4955
Frequently Asked Questions on LCM of 4947 and 4955
1. What is the LCM of 4947 and 4955?
Answer: LCM of 4947 and 4955 is 24512385.
2. What are the Factors of 4947?
Answer: Factors of 4947 are 1, 3, 17, 51, 97, 291, 1649, 4947. There are 8 integers that are factors of 4947. The greatest factor of 4947 is 4947.
3. What are the Factors of 4955?
Answer: Factors of 4955 are 1, 5, 991, 4955. There are 4 integers that are factors of 4955. The greatest factor of 4955 is 4955.
4. How to Find the LCM of 4947 and 4955?
Answer:
Least Common Multiple of 4947 and 4955 = 24512385
Step 1: Find the prime factorization of 4947
4947 = 3 x 17 x 97
Step 2: Find the prime factorization of 4955
4955 = 5 x 991
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24512385 = 3 x 5 x 17 x 97 x 991
Step 4: Therefore, the least common multiple of 4947 and 4955 is 24512385.