Least Common Multiple of 173 and 175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 173 and 175 the smallest integer that is 30275 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 175 is 30275.

LCM(173,175) = 30275

LCM of 173 and 175

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

LCM of:
and

Least Common Multiple of 173 and 175

LCM of 173 and 175 is 30275

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 175. First we will calculate the prime factors of 173 and 175.

Prime Factorization of 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Prime Factorization of 175


5 175
5 35
7 7
1

Prime factors of 175 are 5,7. Prime factorization of 175 in exponential form is:

175 = 52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 175.

LCM(173,175) = 52×71×1731
LCM(173,175) = 30275

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Least Common Multiple of 173 and 175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 173 and 175, than apply into the LCM equation.

GCF(173,175) = 1
LCM(173,175) = ( 173 × 175) / 1
LCM(173,175) = 30275 / 1
LCM(173,175) = 30275

Properties of LCM 173 and 175

(i) The LCM of 175 and 173 is associative

LCM of 173 and 175 = LCM of 175 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 175

Frequently Asked Questions on LCM of 173 and 175

1. What is the LCM of 173 and 175?

Answer: LCM of 173 and 175 is 30275.

2. What are the Factors of 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

3. What are the Factors of 175?

Answer: Factors of 175 are 1, 5, 7, 25, 35, 175. There are 6 integers that are factors of 175. The greatest factor of 175 is 175.

4. How to Find the LCM of 173 and 175?

Answer:

Least Common Multiple of 173 and 175 = 30275

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 175

175 = 5 x 5 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30275 = 5 x 5 x 7 x 173

Step 4: Therefore, the least common multiple of 173 and 175 is 30275.