Least Common Multiple of 5933 and 5941
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5933 and 5941 the smallest integer that is 35247953 that is divisible by both numbers.
Least Common Multiple (LCM) of 5933 and 5941 is 35247953.
LCM(5933,5941) = 35247953
LCM of 5933 and 5941
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5933 and 5941 by Prime method
- Least Common Multiple of 5933 and 5941 with GCF Formula
LCM of 5933 and 5941 is 35247953
Least common multiple can be found by multiplying the highest exponent prime factors of 5933 and 5941. First we will calculate the prime factors of 5933 and 5941.
Prime Factorization of 5933
| 17 | 5933 |
| 349 | 349 |
| 1 |
Prime factors of 5933 are 17,349. Prime factorization of 5933 in exponential form is:
5933 = 171×3491
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
Now multiplying the highest exponent prime factors to calculate the LCM of 5933 and 5941.
LCM(5933,5941) = 131×171×3491×4571
LCM(5933,5941) = 35247953
Factors of 5933
List of positive integer factors of 5933 that divides 5933 without a remainder.
1, 17, 349, 5933
Factors of 5941
List of positive integer factors of 5941 that divides 5941 without a remainder.
1, 13, 457, 5941
Least Common Multiple of 5933 and 5941 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5933 and 5941, than apply into the LCM equation.
GCF(5933,5941) = 1
LCM(5933,5941) = ( 5933 × 5941) / 1
LCM(5933,5941) = 35247953 / 1
LCM(5933,5941) = 35247953
Properties of LCM 5933 and 5941
(i) The LCM of 5941 and 5933 is associative
LCM of 5933 and 5941 = LCM of 5941 and 5933
Related Least Common Multiples of 5933
Related Least Common Multiples of 5941
Frequently Asked Questions on LCM of 5933 and 5941
1. What is the LCM of 5933 and 5941?
Answer: LCM of 5933 and 5941 is 35247953.
2. What are the Factors of 5933?
Answer: Factors of 5933 are 1, 17, 349, 5933. There are 4 integers that are factors of 5933. The greatest factor of 5933 is 5933.
3. 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.
4. How to Find the LCM of 5933 and 5941?
Answer:
Least Common Multiple of 5933 and 5941 = 35247953
Step 1: Find the prime factorization of 5933
5933 = 17 x 349
Step 2: Find the prime factorization of 5941
5941 = 13 x 457
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 35247953 = 13 x 17 x 349 x 457
Step 4: Therefore, the least common multiple of 5933 and 5941 is 35247953.