Least Common Multiple of 2173 and 2175

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

LCM of 2173 and 2175

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2173 and 2175

LCM of 2173 and 2175 is 4726275

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

Least Common Multiple of 2173 and 2175 with GCF Formula

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

Properties of LCM 2173 and 2175

(i) The LCM of 2175 and 2173 is associative

LCM of 2173 and 2175 = LCM of 2175 and 2173

Frequently Asked Questions on LCM of 2173 and 2175

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.