Least Common Multiple of 4941 and 4945
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4941 and 4945 the smallest integer that is 24433245 that is divisible by both numbers.
Least Common Multiple (LCM) of 4941 and 4945 is 24433245.
LCM(4941,4945) = 24433245
LCM of 4941 and 4945
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4941 and 4945 by Prime method
- Least Common Multiple of 4941 and 4945 with GCF Formula
LCM of 4941 and 4945 is 24433245
Least common multiple can be found by multiplying the highest exponent prime factors of 4941 and 4945. First we will calculate the prime factors of 4941 and 4945.
Prime Factorization of 4941
| 3 | 4941 |
| 3 | 1647 |
| 3 | 549 |
| 3 | 183 |
| 61 | 61 |
| 1 |
Prime factors of 4941 are 3,61. Prime factorization of 4941 in exponential form is:
4941 = 34×611
Prime Factorization of 4945
| 5 | 4945 |
| 23 | 989 |
| 43 | 43 |
| 1 |
Prime factors of 4945 are 5, 23,43. Prime factorization of 4945 in exponential form is:
4945 = 51×231×431
Now multiplying the highest exponent prime factors to calculate the LCM of 4941 and 4945.
LCM(4941,4945) = 34×51×231×431×611
LCM(4941,4945) = 24433245
Factors of 4941
List of positive integer factors of 4941 that divides 4941 without a remainder.
1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941
Factors of 4945
List of positive integer factors of 4945 that divides 4945 without a remainder.
1, 5, 23, 43, 115, 215, 989, 4945
Least Common Multiple of 4941 and 4945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4941 and 4945, than apply into the LCM equation.
GCF(4941,4945) = 1
LCM(4941,4945) = ( 4941 × 4945) / 1
LCM(4941,4945) = 24433245 / 1
LCM(4941,4945) = 24433245
Properties of LCM 4941 and 4945
(i) The LCM of 4945 and 4941 is associative
LCM of 4941 and 4945 = LCM of 4945 and 4941
Related Least Common Multiples of 4941
Related Least Common Multiples of 4945
Frequently Asked Questions on LCM of 4941 and 4945
1. What is the LCM of 4941 and 4945?
Answer: LCM of 4941 and 4945 is 24433245.
2. What are the Factors of 4941?
Answer: Factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941. There are 10 integers that are factors of 4941. The greatest factor of 4941 is 4941.
3. What are the Factors of 4945?
Answer: Factors of 4945 are 1, 5, 23, 43, 115, 215, 989, 4945. There are 8 integers that are factors of 4945. The greatest factor of 4945 is 4945.
4. How to Find the LCM of 4941 and 4945?
Answer:
Least Common Multiple of 4941 and 4945 = 24433245
Step 1: Find the prime factorization of 4941
4941 = 3 x 3 x 3 x 3 x 61
Step 2: Find the prime factorization of 4945
4945 = 5 x 23 x 43
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 24433245 = 3 x 3 x 3 x 3 x 5 x 23 x 43 x 61
Step 4: Therefore, the least common multiple of 4941 and 4945 is 24433245.