Least Common Multiple of 5175 and 5182
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 5175 and 5182 the smallest integer that is 26816850 that is divisible by both numbers.
Least Common Multiple (LCM) of 5175 and 5182 is 26816850.
LCM(5175,5182) = 26816850
LCM of 5175 and 5182
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 5175 and 5182 by Prime method
- Least Common Multiple of 5175 and 5182 with GCF Formula
LCM of 5175 and 5182 is 26816850
Least common multiple can be found by multiplying the highest exponent prime factors of 5175 and 5182. First we will calculate the prime factors of 5175 and 5182.
Prime Factorization of 5175
| 3 | 5175 |
| 3 | 1725 |
| 5 | 575 |
| 5 | 115 |
| 23 | 23 |
| 1 |
Prime factors of 5175 are 3, 5,23. Prime factorization of 5175 in exponential form is:
5175 = 32×52×231
Prime Factorization of 5182
| 2 | 5182 |
| 2591 | 2591 |
| 1 |
Prime factors of 5182 are 2,2591. Prime factorization of 5182 in exponential form is:
5182 = 21×25911
Now multiplying the highest exponent prime factors to calculate the LCM of 5175 and 5182.
LCM(5175,5182) = 21×32×52×231×25911
LCM(5175,5182) = 26816850
Factors of 5175
List of positive integer factors of 5175 that divides 5175 without a remainder.
1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
Factors of 5182
List of positive integer factors of 5182 that divides 5182 without a remainder.
1, 2, 2591, 5182
Least Common Multiple of 5175 and 5182 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5175 and 5182, than apply into the LCM equation.
GCF(5175,5182) = 1
LCM(5175,5182) = ( 5175 × 5182) / 1
LCM(5175,5182) = 26816850 / 1
LCM(5175,5182) = 26816850
Properties of LCM 5175 and 5182
(i) The LCM of 5182 and 5175 is associative
LCM of 5175 and 5182 = LCM of 5182 and 5175
Related Least Common Multiples of 5175
Related Least Common Multiples of 5182
Frequently Asked Questions on LCM of 5175 and 5182
1. What is the LCM of 5175 and 5182?
Answer: LCM of 5175 and 5182 is 26816850.
2. What are the Factors of 5175?
Answer: Factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175. There are 18 integers that are factors of 5175. The greatest factor of 5175 is 5175.
3. What are the Factors of 5182?
Answer: Factors of 5182 are 1, 2, 2591, 5182. There are 4 integers that are factors of 5182. The greatest factor of 5182 is 5182.
4. How to Find the LCM of 5175 and 5182?
Answer:
Least Common Multiple of 5175 and 5182 = 26816850
Step 1: Find the prime factorization of 5175
5175 = 3 x 3 x 5 x 5 x 23
Step 2: Find the prime factorization of 5182
5182 = 2 x 2591
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 26816850 = 2 x 3 x 3 x 5 x 5 x 23 x 2591
Step 4: Therefore, the least common multiple of 5175 and 5182 is 26816850.