Least Common Multiple of 5945 and 5949
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5945 and 5949 the smallest integer that is 35366805 that is divisible by both numbers.
Least Common Multiple (LCM) of 5945 and 5949 is 35366805.
LCM(5945,5949) = 35366805
LCM of 5945 and 5949
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5945 and 5949 by Prime method
- Least Common Multiple of 5945 and 5949 with GCF Formula
LCM of 5945 and 5949 is 35366805
Least common multiple can be found by multiplying the highest exponent prime factors of 5945 and 5949. First we will calculate the prime factors of 5945 and 5949.
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
Prime Factorization of 5949
| 3 | 5949 |
| 3 | 1983 |
| 661 | 661 |
| 1 |
Prime factors of 5949 are 3,661. Prime factorization of 5949 in exponential form is:
5949 = 32×6611
Now multiplying the highest exponent prime factors to calculate the LCM of 5945 and 5949.
LCM(5945,5949) = 32×51×291×411×6611
LCM(5945,5949) = 35366805
Factors of 5945
List of positive integer factors of 5945 that divides 5945 without a remainder.
1, 5, 29, 41, 145, 205, 1189, 5945
Factors of 5949
List of positive integer factors of 5949 that divides 5949 without a remainder.
1, 3, 9, 661, 1983, 5949
Least Common Multiple of 5945 and 5949 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5945 and 5949, than apply into the LCM equation.
GCF(5945,5949) = 1
LCM(5945,5949) = ( 5945 × 5949) / 1
LCM(5945,5949) = 35366805 / 1
LCM(5945,5949) = 35366805
Properties of LCM 5945 and 5949
(i) The LCM of 5949 and 5945 is associative
LCM of 5945 and 5949 = LCM of 5949 and 5945
Related Least Common Multiples of 5945
Related Least Common Multiples of 5949
Frequently Asked Questions on LCM of 5945 and 5949
1. What is the LCM of 5945 and 5949?
Answer: LCM of 5945 and 5949 is 35366805.
2. 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.
3. What are the Factors of 5949?
Answer: Factors of 5949 are 1, 3, 9, 661, 1983, 5949. There are 6 integers that are factors of 5949. The greatest factor of 5949 is 5949.
4. How to Find the LCM of 5945 and 5949?
Answer:
Least Common Multiple of 5945 and 5949 = 35366805
Step 1: Find the prime factorization of 5945
5945 = 5 x 29 x 41
Step 2: Find the prime factorization of 5949
5949 = 3 x 3 x 661
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35366805 = 3 x 3 x 5 x 29 x 41 x 661
Step 4: Therefore, the least common multiple of 5945 and 5949 is 35366805.