Least Common Multiple of 175 and 183

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 175 and 183 the smallest integer that is 32025 that is divisible by both numbers.

Least Common Multiple (LCM) of 175 and 183 is 32025.

LCM(175,183) = 32025

LCM of 175 and 183

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

LCM of:
and

Least Common Multiple of 175 and 183

LCM of 175 and 183 is 32025

Least common multiple can be found by multiplying the highest exponent prime factors of 175 and 183. First we will calculate the prime factors of 175 and 183.

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

Prime Factorization of 183


3 183
61 61
1

Prime factors of 183 are 3,61. Prime factorization of 183 in exponential form is:

183 = 31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 175 and 183.

LCM(175,183) = 31×52×71×611
LCM(175,183) = 32025

Factors of 175

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

1, 5, 7, 25, 35, 175

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Least Common Multiple of 175 and 183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 175 and 183, than apply into the LCM equation.

GCF(175,183) = 1
LCM(175,183) = ( 175 × 183) / 1
LCM(175,183) = 32025 / 1
LCM(175,183) = 32025

Properties of LCM 175 and 183

(i) The LCM of 183 and 175 is associative

LCM of 175 and 183 = LCM of 183 and 175

Related Least Common Multiples of 175

Related Least Common Multiples of 183

Frequently Asked Questions on LCM of 175 and 183

1. What is the LCM of 175 and 183?

Answer: LCM of 175 and 183 is 32025.

2. 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.

3. What are the Factors of 183?

Answer: Factors of 183 are 1, 3, 61, 183. There are 4 integers that are factors of 183. The greatest factor of 183 is 183.

4. How to Find the LCM of 175 and 183?

Answer:

Least Common Multiple of 175 and 183 = 32025

Step 1: Find the prime factorization of 175

175 = 5 x 5 x 7

Step 2: Find the prime factorization of 183

183 = 3 x 61

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

LCM = 32025 = 3 x 5 x 5 x 7 x 61

Step 4: Therefore, the least common multiple of 175 and 183 is 32025.