Least Common Multiple of 4975 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 4975 and 4981 the smallest integer that is 24780475 that is divisible by both numbers.
Least Common Multiple (LCM) of 4975 and 4981 is 24780475.
LCM(4975,4981) = 24780475
LCM of 4975 and 4981
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4975 and 4981 by Prime method
- Least Common Multiple of 4975 and 4981 with GCF Formula
LCM of 4975 and 4981 is 24780475
Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4981. First we will calculate the prime factors of 4975 and 4981.
Prime Factorization of 4975
| 5 | 4975 |
| 5 | 995 |
| 199 | 199 |
| 1 |
Prime factors of 4975 are 5,199. Prime factorization of 4975 in exponential form is:
4975 = 52×1991
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 4975 and 4981.
LCM(4975,4981) = 52×171×1991×2931
LCM(4975,4981) = 24780475
Factors of 4975
List of positive integer factors of 4975 that divides 4975 without a remainder.
1, 5, 25, 199, 995, 4975
Factors of 4981
List of positive integer factors of 4981 that divides 4981 without a remainder.
1, 17, 293, 4981
Least Common Multiple of 4975 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 4975 and 4981, than apply into the LCM equation.
GCF(4975,4981) = 1
LCM(4975,4981) = ( 4975 × 4981) / 1
LCM(4975,4981) = 24780475 / 1
LCM(4975,4981) = 24780475
Properties of LCM 4975 and 4981
(i) The LCM of 4981 and 4975 is associative
LCM of 4975 and 4981 = LCM of 4981 and 4975
Related Least Common Multiples of 4975
Related Least Common Multiples of 4981
Frequently Asked Questions on LCM of 4975 and 4981
1. What is the LCM of 4975 and 4981?
Answer: LCM of 4975 and 4981 is 24780475.
2. What are the Factors of 4975?
Answer: Factors of 4975 are 1, 5, 25, 199, 995, 4975. There are 6 integers that are factors of 4975. The greatest factor of 4975 is 4975.
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 4975 and 4981?
Answer:
Least Common Multiple of 4975 and 4981 = 24780475
Step 1: Find the prime factorization of 4975
4975 = 5 x 5 x 199
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 = 24780475 = 5 x 5 x 17 x 199 x 293
Step 4: Therefore, the least common multiple of 4975 and 4981 is 24780475.