Least Common Multiple of 169 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 169 and 171 the smallest integer that is 28899 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 171 is 28899.

LCM(169,171) = 28899

LCM of 169 and 171

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

LCM of:
and

Least Common Multiple of 169 and 171

LCM of 169 and 171 is 28899

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 171. First we will calculate the prime factors of 169 and 171.

Prime Factorization of 169


13 169
13 13
1

Prime factors of 169 are 13. Prime factorization of 169 in exponential form is:

169 = 132

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 169 and 171.

LCM(169,171) = 32×132×191
LCM(169,171) = 28899

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1, 13, 169

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 169 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 169 and 171, than apply into the LCM equation.

GCF(169,171) = 1
LCM(169,171) = ( 169 × 171) / 1
LCM(169,171) = 28899 / 1
LCM(169,171) = 28899

Properties of LCM 169 and 171

(i) The LCM of 171 and 169 is associative

LCM of 169 and 171 = LCM of 171 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 171

Frequently Asked Questions on LCM of 169 and 171

1. What is the LCM of 169 and 171?

Answer: LCM of 169 and 171 is 28899.

2. What are the Factors of 169?

Answer: Factors of 169 are 1, 13, 169. There are 3 integers that are factors of 169. The greatest factor of 169 is 169.

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 169 and 171?

Answer:

Least Common Multiple of 169 and 171 = 28899

Step 1: Find the prime factorization of 169

169 = 13 x 13

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 = 28899 = 3 x 3 x 13 x 13 x 19

Step 4: Therefore, the least common multiple of 169 and 171 is 28899.