Least Common Multiple of 171 and 174

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 174 the smallest integer that is 9918 that is divisible by both numbers.

Least Common Multiple (LCM) of 171 and 174 is 9918.

LCM(171,174) = 9918

LCM of 171 and 174

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

LCM of:
and

Least Common Multiple of 171 and 174

LCM of 171 and 174 is 9918

Least common multiple can be found by multiplying the highest exponent prime factors of 171 and 174. First we will calculate the prime factors of 171 and 174.

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 174


2 174
3 87
29 29
1

Prime factors of 174 are 2, 3,29. Prime factorization of 174 in exponential form is:

174 = 21×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 171 and 174.

LCM(171,174) = 21×32×191×291
LCM(171,174) = 9918

Factors of 171

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

1, 3, 9, 19, 57, 171

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Least Common Multiple of 171 and 174 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 174, than apply into the LCM equation.

GCF(171,174) = 3
LCM(171,174) = ( 171 × 174) / 3
LCM(171,174) = 29754 / 3
LCM(171,174) = 9918

Properties of LCM 171 and 174

(i) The LCM of 174 and 171 is associative

LCM of 171 and 174 = LCM of 174 and 171

Related Least Common Multiples of 171

Related Least Common Multiples of 174

Frequently Asked Questions on LCM of 171 and 174

1. What is the LCM of 171 and 174?

Answer: LCM of 171 and 174 is 9918.

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 174?

Answer: Factors of 174 are 1, 2, 3, 6, 29, 58, 87, 174. There are 8 integers that are factors of 174. The greatest factor of 174 is 174.

4. How to Find the LCM of 171 and 174?

Answer:

Least Common Multiple of 171 and 174 = 9918

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 174

174 = 2 x 3 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 = 9918 = 2 x 3 x 3 x 19 x 29

Step 4: Therefore, the least common multiple of 171 and 174 is 9918.