Least Common Multiple of 5751 and 5755
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5751 and 5755 the smallest integer that is 33097005 that is divisible by both numbers.
Least Common Multiple (LCM) of 5751 and 5755 is 33097005.
LCM(5751,5755) = 33097005
LCM of 5751 and 5755
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5751 and 5755 by Prime method
- Least Common Multiple of 5751 and 5755 with GCF Formula
LCM of 5751 and 5755 is 33097005
Least common multiple can be found by multiplying the highest exponent prime factors of 5751 and 5755. First we will calculate the prime factors of 5751 and 5755.
Prime Factorization of 5751
| 3 | 5751 |
| 3 | 1917 |
| 3 | 639 |
| 3 | 213 |
| 71 | 71 |
| 1 |
Prime factors of 5751 are 3,71. Prime factorization of 5751 in exponential form is:
5751 = 34×711
Prime Factorization of 5755
| 5 | 5755 |
| 1151 | 1151 |
| 1 |
Prime factors of 5755 are 5,1151. Prime factorization of 5755 in exponential form is:
5755 = 51×11511
Now multiplying the highest exponent prime factors to calculate the LCM of 5751 and 5755.
LCM(5751,5755) = 34×51×711×11511
LCM(5751,5755) = 33097005
Factors of 5751
List of positive integer factors of 5751 that divides 5751 without a remainder.
1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751
Factors of 5755
List of positive integer factors of 5755 that divides 5755 without a remainder.
1, 5, 1151, 5755
Least Common Multiple of 5751 and 5755 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5751 and 5755, than apply into the LCM equation.
GCF(5751,5755) = 1
LCM(5751,5755) = ( 5751 × 5755) / 1
LCM(5751,5755) = 33097005 / 1
LCM(5751,5755) = 33097005
Properties of LCM 5751 and 5755
(i) The LCM of 5755 and 5751 is associative
LCM of 5751 and 5755 = LCM of 5755 and 5751
Related Least Common Multiples of 5751
Related Least Common Multiples of 5755
Frequently Asked Questions on LCM of 5751 and 5755
1. What is the LCM of 5751 and 5755?
Answer: LCM of 5751 and 5755 is 33097005.
2. What are the Factors of 5751?
Answer: Factors of 5751 are 1, 3, 9, 27, 71, 81, 213, 639, 1917, 5751. There are 10 integers that are factors of 5751. The greatest factor of 5751 is 5751.
3. What are the Factors of 5755?
Answer: Factors of 5755 are 1, 5, 1151, 5755. There are 4 integers that are factors of 5755. The greatest factor of 5755 is 5755.
4. How to Find the LCM of 5751 and 5755?
Answer:
Least Common Multiple of 5751 and 5755 = 33097005
Step 1: Find the prime factorization of 5751
5751 = 3 x 3 x 3 x 3 x 71
Step 2: Find the prime factorization of 5755
5755 = 5 x 1151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 33097005 = 3 x 3 x 3 x 3 x 5 x 71 x 1151
Step 4: Therefore, the least common multiple of 5751 and 5755 is 33097005.