Least Common Multiple of 163 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 163 and 171 the smallest integer that is 27873 that is divisible by both numbers.

Least Common Multiple (LCM) of 163 and 171 is 27873.

LCM(163,171) = 27873

LCM of 163 and 171

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

LCM of:
and

Least Common Multiple of 163 and 171

LCM of 163 and 171 is 27873

Least common multiple can be found by multiplying the highest exponent prime factors of 163 and 171. First we will calculate the prime factors of 163 and 171.

Prime Factorization of 163


163 163
1

Prime factors of 163 are 163. Prime factorization of 163 in exponential form is:

163 = 1631

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 163 and 171.

LCM(163,171) = 32×191×1631
LCM(163,171) = 27873

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1, 163

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 163 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 163 and 171, than apply into the LCM equation.

GCF(163,171) = 1
LCM(163,171) = ( 163 × 171) / 1
LCM(163,171) = 27873 / 1
LCM(163,171) = 27873

Properties of LCM 163 and 171

(i) The LCM of 171 and 163 is associative

LCM of 163 and 171 = LCM of 171 and 163

Related Least Common Multiples of 163

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 163 and 171

1. What is the LCM of 163 and 171?

Answer: LCM of 163 and 171 is 27873.

2. What are the Factors of 163?

Answer: Factors of 163 are 1, 163. There are 2 integers that are factors of 163. The greatest factor of 163 is 163.

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 163 and 171?

Answer:

Least Common Multiple of 163 and 171 = 27873

Step 1: Find the prime factorization of 163

163 = 163

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 = 27873 = 3 x 3 x 19 x 163

Step 4: Therefore, the least common multiple of 163 and 171 is 27873.