Least Common Multiple of 5939 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 5939 and 5945 the smallest integer that is 35307355 that is divisible by both numbers.
Least Common Multiple (LCM) of 5939 and 5945 is 35307355.
LCM(5939,5945) = 35307355
LCM of 5939 and 5945
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5939 and 5945 by Prime method
- Least Common Multiple of 5939 and 5945 with GCF Formula
LCM of 5939 and 5945 is 35307355
Least common multiple can be found by multiplying the highest exponent prime factors of 5939 and 5945. First we will calculate the prime factors of 5939 and 5945.
Prime Factorization of 5939
| 5939 | 5939 |
| 1 |
Prime factors of 5939 are 5939. Prime factorization of 5939 in exponential form is:
5939 = 59391
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 5939 and 5945.
LCM(5939,5945) = 51×291×411×59391
LCM(5939,5945) = 35307355
Factors of 5939
List of positive integer factors of 5939 that divides 5939 without a remainder.
1, 5939
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 5939 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 5939 and 5945, than apply into the LCM equation.
GCF(5939,5945) = 1
LCM(5939,5945) = ( 5939 × 5945) / 1
LCM(5939,5945) = 35307355 / 1
LCM(5939,5945) = 35307355
Properties of LCM 5939 and 5945
(i) The LCM of 5945 and 5939 is associative
LCM of 5939 and 5945 = LCM of 5945 and 5939
Related Least Common Multiples of 5939
Related Least Common Multiples of 5945
Frequently Asked Questions on LCM of 5939 and 5945
1. What is the LCM of 5939 and 5945?
Answer: LCM of 5939 and 5945 is 35307355.
2. What are the Factors of 5939?
Answer: Factors of 5939 are 1, 5939. There are 2 integers that are factors of 5939. The greatest factor of 5939 is 5939.
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 5939 and 5945?
Answer:
Least Common Multiple of 5939 and 5945 = 35307355
Step 1: Find the prime factorization of 5939
5939 = 5939
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 = 35307355 = 5 x 29 x 41 x 5939
Step 4: Therefore, the least common multiple of 5939 and 5945 is 35307355.