Least Common Multiple of 170 and 171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 170 and 171 the smallest integer that is 29070 that is divisible by both numbers.

Least Common Multiple (LCM) of 170 and 171 is 29070.

LCM(170,171) = 29070

LCM of 170 and 171

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

LCM of:
and

Least Common Multiple of 170 and 171

LCM of 170 and 171 is 29070

Least common multiple can be found by multiplying the highest exponent prime factors of 170 and 171. First we will calculate the prime factors of 170 and 171.

Prime Factorization of 170


2 170
5 85
17 17
1

Prime factors of 170 are 2, 5,17. Prime factorization of 170 in exponential form is:

170 = 21×51×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 170 and 171.

LCM(170,171) = 21×32×51×171×191
LCM(170,171) = 29070

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Factors of 171

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

1, 3, 9, 19, 57, 171

Least Common Multiple of 170 and 171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 170 and 171, than apply into the LCM equation.

GCF(170,171) = 1
LCM(170,171) = ( 170 × 171) / 1
LCM(170,171) = 29070 / 1
LCM(170,171) = 29070

Properties of LCM 170 and 171

(i) The LCM of 171 and 170 is associative

LCM of 170 and 171 = LCM of 171 and 170

Related Least Common Multiples of 170

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 170 and 171

1. What is the LCM of 170 and 171?

Answer: LCM of 170 and 171 is 29070.

2. What are the Factors of 170?

Answer: Factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170. There are 8 integers that are factors of 170. The greatest factor of 170 is 170.

3. 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.

4. How to Find the LCM of 170 and 171?

Answer:

Least Common Multiple of 170 and 171 = 29070

Step 1: Find the prime factorization of 170

170 = 2 x 5 x 17

Step 2: Find the prime factorization of 171

171 = 3 x 3 x 19

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

LCM = 29070 = 2 x 3 x 3 x 5 x 17 x 19

Step 4: Therefore, the least common multiple of 170 and 171 is 29070.