Least Common Multiple of 5754 and 5759
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5754 and 5759 the smallest integer that is 33137286 that is divisible by both numbers.
Least Common Multiple (LCM) of 5754 and 5759 is 33137286.
LCM(5754,5759) = 33137286
LCM of 5754 and 5759
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5754 and 5759 by Prime method
- Least Common Multiple of 5754 and 5759 with GCF Formula
LCM of 5754 and 5759 is 33137286
Least common multiple can be found by multiplying the highest exponent prime factors of 5754 and 5759. First we will calculate the prime factors of 5754 and 5759.
Prime Factorization of 5754
| 2 | 5754 |
| 3 | 2877 |
| 7 | 959 |
| 137 | 137 |
| 1 |
Prime factors of 5754 are 2, 3, 7,137. Prime factorization of 5754 in exponential form is:
5754 = 21×31×71×1371
Prime Factorization of 5759
| 13 | 5759 |
| 443 | 443 |
| 1 |
Prime factors of 5759 are 13,443. Prime factorization of 5759 in exponential form is:
5759 = 131×4431
Now multiplying the highest exponent prime factors to calculate the LCM of 5754 and 5759.
LCM(5754,5759) = 21×31×71×131×1371×4431
LCM(5754,5759) = 33137286
Factors of 5754
List of positive integer factors of 5754 that divides 5754 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
Factors of 5759
List of positive integer factors of 5759 that divides 5759 without a remainder.
1, 13, 443, 5759
Least Common Multiple of 5754 and 5759 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5754 and 5759, than apply into the LCM equation.
GCF(5754,5759) = 1
LCM(5754,5759) = ( 5754 × 5759) / 1
LCM(5754,5759) = 33137286 / 1
LCM(5754,5759) = 33137286
Properties of LCM 5754 and 5759
(i) The LCM of 5759 and 5754 is associative
LCM of 5754 and 5759 = LCM of 5759 and 5754
Related Least Common Multiples of 5754
Related Least Common Multiples of 5759
Frequently Asked Questions on LCM of 5754 and 5759
1. What is the LCM of 5754 and 5759?
Answer: LCM of 5754 and 5759 is 33137286.
2. What are the Factors of 5754?
Answer: Factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754. There are 16 integers that are factors of 5754. The greatest factor of 5754 is 5754.
3. What are the Factors of 5759?
Answer: Factors of 5759 are 1, 13, 443, 5759. There are 4 integers that are factors of 5759. The greatest factor of 5759 is 5759.
4. How to Find the LCM of 5754 and 5759?
Answer:
Least Common Multiple of 5754 and 5759 = 33137286
Step 1: Find the prime factorization of 5754
5754 = 2 x 3 x 7 x 137
Step 2: Find the prime factorization of 5759
5759 = 13 x 443
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33137286 = 2 x 3 x 7 x 13 x 137 x 443
Step 4: Therefore, the least common multiple of 5754 and 5759 is 33137286.