Least Common Multiple of 164 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 164 and 171 the smallest integer that is 28044 that is divisible by both numbers.

Least Common Multiple (LCM) of 164 and 171 is 28044.

LCM(164,171) = 28044

LCM of 164 and 171

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

LCM of:
and

Least Common Multiple of 164 and 171

LCM of 164 and 171 is 28044

Least common multiple can be found by multiplying the highest exponent prime factors of 164 and 171. First we will calculate the prime factors of 164 and 171.

Prime Factorization of 164


2 164
2 82
41 41
1

Prime factors of 164 are 2,41. Prime factorization of 164 in exponential form is:

164 = 22×411

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 164 and 171.

LCM(164,171) = 22×32×191×411
LCM(164,171) = 28044

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

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 164 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 164 and 171, than apply into the LCM equation.

GCF(164,171) = 1
LCM(164,171) = ( 164 × 171) / 1
LCM(164,171) = 28044 / 1
LCM(164,171) = 28044

Properties of LCM 164 and 171

(i) The LCM of 171 and 164 is associative

LCM of 164 and 171 = LCM of 171 and 164

Related Least Common Multiples of 164

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 164 and 171

1. What is the LCM of 164 and 171?

Answer: LCM of 164 and 171 is 28044.

2. What are the Factors of 164?

Answer: Factors of 164 are 1, 2, 4, 41, 82, 164. There are 6 integers that are factors of 164. The greatest factor of 164 is 164.

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 164 and 171?

Answer:

Least Common Multiple of 164 and 171 = 28044

Step 1: Find the prime factorization of 164

164 = 2 x 2 x 41

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 = 28044 = 2 x 2 x 3 x 3 x 19 x 41

Step 4: Therefore, the least common multiple of 164 and 171 is 28044.