Least Common Multiple of 4994 and 4997
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4994 and 4997 the smallest integer that is 24955018 that is divisible by both numbers.
Least Common Multiple (LCM) of 4994 and 4997 is 24955018.
LCM(4994,4997) = 24955018
LCM of 4994 and 4997
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4994 and 4997 by Prime method
- Least Common Multiple of 4994 and 4997 with GCF Formula
LCM of 4994 and 4997 is 24955018
Least common multiple can be found by multiplying the highest exponent prime factors of 4994 and 4997. First we will calculate the prime factors of 4994 and 4997.
Prime Factorization of 4994
| 2 | 4994 |
| 11 | 2497 |
| 227 | 227 |
| 1 |
Prime factors of 4994 are 2, 11,227. Prime factorization of 4994 in exponential form is:
4994 = 21×111×2271
Prime Factorization of 4997
| 19 | 4997 |
| 263 | 263 |
| 1 |
Prime factors of 4997 are 19,263. Prime factorization of 4997 in exponential form is:
4997 = 191×2631
Now multiplying the highest exponent prime factors to calculate the LCM of 4994 and 4997.
LCM(4994,4997) = 21×111×191×2271×2631
LCM(4994,4997) = 24955018
Factors of 4994
List of positive integer factors of 4994 that divides 4994 without a remainder.
1, 2, 11, 22, 227, 454, 2497, 4994
Factors of 4997
List of positive integer factors of 4997 that divides 4997 without a remainder.
1, 19, 263, 4997
Least Common Multiple of 4994 and 4997 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4994 and 4997, than apply into the LCM equation.
GCF(4994,4997) = 1
LCM(4994,4997) = ( 4994 × 4997) / 1
LCM(4994,4997) = 24955018 / 1
LCM(4994,4997) = 24955018
Properties of LCM 4994 and 4997
(i) The LCM of 4997 and 4994 is associative
LCM of 4994 and 4997 = LCM of 4997 and 4994
Related Least Common Multiples of 4994
Related Least Common Multiples of 4997
Frequently Asked Questions on LCM of 4994 and 4997
1. What is the LCM of 4994 and 4997?
Answer: LCM of 4994 and 4997 is 24955018.
2. What are the Factors of 4994?
Answer: Factors of 4994 are 1, 2, 11, 22, 227, 454, 2497, 4994. There are 8 integers that are factors of 4994. The greatest factor of 4994 is 4994.
3. What are the Factors of 4997?
Answer: Factors of 4997 are 1, 19, 263, 4997. There are 4 integers that are factors of 4997. The greatest factor of 4997 is 4997.
4. How to Find the LCM of 4994 and 4997?
Answer:
Least Common Multiple of 4994 and 4997 = 24955018
Step 1: Find the prime factorization of 4994
4994 = 2 x 11 x 227
Step 2: Find the prime factorization of 4997
4997 = 19 x 263
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24955018 = 2 x 11 x 19 x 227 x 263
Step 4: Therefore, the least common multiple of 4994 and 4997 is 24955018.
