Least Common Multiple of 171 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 171 and 175 the smallest integer that is 29925 that is divisible by both numbers.

Least Common Multiple (LCM) of 171 and 175 is 29925.

LCM(171,175) = 29925

LCM of 171 and 175

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

LCM of:
and

Least Common Multiple of 171 and 175

LCM of 171 and 175 is 29925

Least common multiple can be found by multiplying the highest exponent prime factors of 171 and 175. First we will calculate the prime factors of 171 and 175.

Prime Factorization of 171


3 171
3 57
19 19
1

Prime factors of 171 are 3,19. Prime factorization of 171 in exponential form is:

171 = 32×191

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 171 and 175.

LCM(171,175) = 32×52×71×191
LCM(171,175) = 29925

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

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 171 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 171 and 175, than apply into the LCM equation.

GCF(171,175) = 1
LCM(171,175) = ( 171 × 175) / 1
LCM(171,175) = 29925 / 1
LCM(171,175) = 29925

Properties of LCM 171 and 175

(i) The LCM of 175 and 171 is associative

LCM of 171 and 175 = LCM of 175 and 171

Related Least Common Multiples of 171

Related Least Common Multiples of 175

Frequently Asked Questions on LCM of 171 and 175

1. What is the LCM of 171 and 175?

Answer: LCM of 171 and 175 is 29925.

2. What are the Factors of 171?

Answer: Factors of 171 are 1, 3, 9, 19, 57, 171. There are 6 integers that are factors of 171. The greatest factor of 171 is 171.

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 171 and 175?

Answer:

Least Common Multiple of 171 and 175 = 29925

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

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 = 29925 = 3 x 3 x 5 x 5 x 7 x 19

Step 4: Therefore, the least common multiple of 171 and 175 is 29925.