Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2173 and 2175 the smallest integer that is 4726275 that is divisible by both numbers.
Least Common Multiple (LCM) of 2173 and 2175 is 4726275.
LCM(2173,2175) = 4726275
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2175. First we will calculate the prime factors of 2173 and 2175.
Prime Factorization of 2173
41 | 2173 |
53 | 53 |
1 |
Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:
2173 = 411×531
Prime Factorization of 2175
3 | 2175 |
5 | 725 |
5 | 145 |
29 | 29 |
1 |
Prime factors of 2175 are 3, 5,29. Prime factorization of 2175 in exponential form is:
2175 = 31×52×291
Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2175.
LCM(2173,2175) = 31×52×291×411×531
LCM(2173,2175) = 4726275
Factors of 2173
List of positive integer factors of 2173 that divides 2173 without a remainder.
1, 41, 53, 2173
Factors of 2175
List of positive integer factors of 2175 that divides 2175 without a remainder.
1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2173 and 2175, than apply into the LCM equation.
GCF(2173,2175) = 1
LCM(2173,2175) = ( 2173 × 2175) / 1
LCM(2173,2175) = 4726275 / 1
LCM(2173,2175) = 4726275
(i) The LCM of 2175 and 2173 is associative
LCM of 2173 and 2175 = LCM of 2175 and 2173
1. What is the LCM of 2173 and 2175?
Answer: LCM of 2173 and 2175 is 4726275.
2. What are the Factors of 2173?
Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.
3. What are the Factors of 2175?
Answer: Factors of 2175 are 1, 3, 5, 15, 25, 29, 75, 87, 145, 435, 725, 2175. There are 12 integers that are factors of 2175. The greatest factor of 2175 is 2175.
4. How to Find the LCM of 2173 and 2175?
Answer:
Least Common Multiple of 2173 and 2175 = 4726275
Step 1: Find the prime factorization of 2173
2173 = 41 x 53
Step 2: Find the prime factorization of 2175
2175 = 3 x 5 x 5 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 4726275 = 3 x 5 x 5 x 29 x 41 x 53
Step 4: Therefore, the least common multiple of 2173 and 2175 is 4726275.