Least Common Multiple of 4977 and 4981
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4977 and 4981 the smallest integer that is 24790437 that is divisible by both numbers.
Least Common Multiple (LCM) of 4977 and 4981 is 24790437.
LCM(4977,4981) = 24790437
LCM of 4977 and 4981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4977 and 4981 by Prime method
- Least Common Multiple of 4977 and 4981 with GCF Formula
LCM of 4977 and 4981 is 24790437
Least common multiple can be found by multiplying the highest exponent prime factors of 4977 and 4981. First we will calculate the prime factors of 4977 and 4981.
Prime Factorization of 4977
| 3 | 4977 |
| 3 | 1659 |
| 7 | 553 |
| 79 | 79 |
| 1 |
Prime factors of 4977 are 3, 7,79. Prime factorization of 4977 in exponential form is:
4977 = 32×71×791
Prime Factorization of 4981
| 17 | 4981 |
| 293 | 293 |
| 1 |
Prime factors of 4981 are 17,293. Prime factorization of 4981 in exponential form is:
4981 = 171×2931
Now multiplying the highest exponent prime factors to calculate the LCM of 4977 and 4981.
LCM(4977,4981) = 32×71×171×791×2931
LCM(4977,4981) = 24790437
Factors of 4977
List of positive integer factors of 4977 that divides 4977 without a remainder.
1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977
Factors of 4981
List of positive integer factors of 4981 that divides 4981 without a remainder.
1, 17, 293, 4981
Least Common Multiple of 4977 and 4981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4977 and 4981, than apply into the LCM equation.
GCF(4977,4981) = 1
LCM(4977,4981) = ( 4977 × 4981) / 1
LCM(4977,4981) = 24790437 / 1
LCM(4977,4981) = 24790437
Properties of LCM 4977 and 4981
(i) The LCM of 4981 and 4977 is associative
LCM of 4977 and 4981 = LCM of 4981 and 4977
Related Least Common Multiples of 4977
Related Least Common Multiples of 4981
Frequently Asked Questions on LCM of 4977 and 4981
1. What is the LCM of 4977 and 4981?
Answer: LCM of 4977 and 4981 is 24790437.
2. What are the Factors of 4977?
Answer: Factors of 4977 are 1, 3, 7, 9, 21, 63, 79, 237, 553, 711, 1659, 4977. There are 12 integers that are factors of 4977. The greatest factor of 4977 is 4977.
3. What are the Factors of 4981?
Answer: Factors of 4981 are 1, 17, 293, 4981. There are 4 integers that are factors of 4981. The greatest factor of 4981 is 4981.
4. How to Find the LCM of 4977 and 4981?
Answer:
Least Common Multiple of 4977 and 4981 = 24790437
Step 1: Find the prime factorization of 4977
4977 = 3 x 3 x 7 x 79
Step 2: Find the prime factorization of 4981
4981 = 17 x 293
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24790437 = 3 x 3 x 7 x 17 x 79 x 293
Step 4: Therefore, the least common multiple of 4977 and 4981 is 24790437.