Least Common Multiple of 166 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 166 and 171 the smallest integer that is 28386 that is divisible by both numbers.

Least Common Multiple (LCM) of 166 and 171 is 28386.

LCM(166,171) = 28386

LCM of 166 and 171

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

LCM of:
and

Least Common Multiple of 166 and 171

LCM of 166 and 171 is 28386

Least common multiple can be found by multiplying the highest exponent prime factors of 166 and 171. First we will calculate the prime factors of 166 and 171.

Prime Factorization of 166


2 166
83 83
1

Prime factors of 166 are 2,83. Prime factorization of 166 in exponential form is:

166 = 21×831

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 166 and 171.

LCM(166,171) = 21×32×191×831
LCM(166,171) = 28386

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1, 2, 83, 166

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 166 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 166 and 171, than apply into the LCM equation.

GCF(166,171) = 1
LCM(166,171) = ( 166 × 171) / 1
LCM(166,171) = 28386 / 1
LCM(166,171) = 28386

Properties of LCM 166 and 171

(i) The LCM of 171 and 166 is associative

LCM of 166 and 171 = LCM of 171 and 166

Related Least Common Multiples of 166

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 166 and 171

1. What is the LCM of 166 and 171?

Answer: LCM of 166 and 171 is 28386.

2. What are the Factors of 166?

Answer: Factors of 166 are 1, 2, 83, 166. There are 4 integers that are factors of 166. The greatest factor of 166 is 166.

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 166 and 171?

Answer:

Least Common Multiple of 166 and 171 = 28386

Step 1: Find the prime factorization of 166

166 = 2 x 83

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 = 28386 = 2 x 3 x 3 x 19 x 83

Step 4: Therefore, the least common multiple of 166 and 171 is 28386.