Least Common Multiple of 171 and 172

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 172 the smallest integer that is 29412 that is divisible by both numbers.

Least Common Multiple (LCM) of 171 and 172 is 29412.

LCM(171,172) = 29412

LCM of 171 and 172

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

LCM of:
and

Least Common Multiple of 171 and 172

LCM of 171 and 172 is 29412

Least common multiple can be found by multiplying the highest exponent prime factors of 171 and 172. First we will calculate the prime factors of 171 and 172.

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 172


2 172
2 86
43 43
1

Prime factors of 172 are 2,43. Prime factorization of 172 in exponential form is:

172 = 22×431

Now multiplying the highest exponent prime factors to calculate the LCM of 171 and 172.

LCM(171,172) = 22×32×191×431
LCM(171,172) = 29412

Factors of 171

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

1, 3, 9, 19, 57, 171

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Least Common Multiple of 171 and 172 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 172, than apply into the LCM equation.

GCF(171,172) = 1
LCM(171,172) = ( 171 × 172) / 1
LCM(171,172) = 29412 / 1
LCM(171,172) = 29412

Properties of LCM 171 and 172

(i) The LCM of 172 and 171 is associative

LCM of 171 and 172 = LCM of 172 and 171

Related Least Common Multiples of 171

Related Least Common Multiples of 172

Frequently Asked Questions on LCM of 171 and 172

1. What is the LCM of 171 and 172?

Answer: LCM of 171 and 172 is 29412.

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 172?

Answer: Factors of 172 are 1, 2, 4, 43, 86, 172. There are 6 integers that are factors of 172. The greatest factor of 172 is 172.

4. How to Find the LCM of 171 and 172?

Answer:

Least Common Multiple of 171 and 172 = 29412

Step 1: Find the prime factorization of 171

171 = 3 x 3 x 19

Step 2: Find the prime factorization of 172

172 = 2 x 2 x 43

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

LCM = 29412 = 2 x 2 x 3 x 3 x 19 x 43

Step 4: Therefore, the least common multiple of 171 and 172 is 29412.