Least Common Multiple of 5941 and 5945
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5941 and 5945 the smallest integer that is 35319245 that is divisible by both numbers.
Least Common Multiple (LCM) of 5941 and 5945 is 35319245.
LCM(5941,5945) = 35319245
LCM of 5941 and 5945
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5941 and 5945 by Prime method
- Least Common Multiple of 5941 and 5945 with GCF Formula
LCM of 5941 and 5945 is 35319245
Least common multiple can be found by multiplying the highest exponent prime factors of 5941 and 5945. First we will calculate the prime factors of 5941 and 5945.
Prime Factorization of 5941
| 13 | 5941 |
| 457 | 457 |
| 1 |
Prime factors of 5941 are 13,457. Prime factorization of 5941 in exponential form is:
5941 = 131×4571
Prime Factorization of 5945
| 5 | 5945 |
| 29 | 1189 |
| 41 | 41 |
| 1 |
Prime factors of 5945 are 5, 29,41. Prime factorization of 5945 in exponential form is:
5945 = 51×291×411
Now multiplying the highest exponent prime factors to calculate the LCM of 5941 and 5945.
LCM(5941,5945) = 51×131×291×411×4571
LCM(5941,5945) = 35319245
Factors of 5941
List of positive integer factors of 5941 that divides 5941 without a remainder.
1, 13, 457, 5941
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1, 5, 29, 41, 145, 205, 1189, 5945
Least Common Multiple of 5941 and 5945 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5941 and 5945, than apply into the LCM equation.
GCF(5941,5945) = 1
LCM(5941,5945) = ( 5941 × 5945) / 1
LCM(5941,5945) = 35319245 / 1
LCM(5941,5945) = 35319245
Properties of LCM 5941 and 5945
(i) The LCM of 5945 and 5941 is associative
LCM of 5941 and 5945 = LCM of 5945 and 5941
Related Least Common Multiples of 5941
Related Least Common Multiples of 5945
Frequently Asked Questions on LCM of 5941 and 5945
1. What is the LCM of 5941 and 5945?
Answer: LCM of 5941 and 5945 is 35319245.
2. What are the Factors of 5941?
Answer: Factors of 5941 are 1, 13, 457, 5941. There are 4 integers that are factors of 5941. The greatest factor of 5941 is 5941.
3. What are the Factors of 5945?
Answer: Factors of 5945 are 1, 5, 29, 41, 145, 205, 1189, 5945. There are 8 integers that are factors of 5945. The greatest factor of 5945 is 5945.
4. How to Find the LCM of 5941 and 5945?
Answer:
Least Common Multiple of 5941 and 5945 = 35319245
Step 1: Find the prime factorization of 5941
5941 = 13 x 457
Step 2: Find the prime factorization of 5945
5945 = 5 x 29 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35319245 = 5 x 13 x 29 x 41 x 457
Step 4: Therefore, the least common multiple of 5941 and 5945 is 35319245.