Least Common Multiple of 169 and 173

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 173 the smallest integer that is 29237 that is divisible by both numbers.

Least Common Multiple (LCM) of 169 and 173 is 29237.

LCM(169,173) = 29237

LCM of 169 and 173

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

LCM of:
and

Least Common Multiple of 169 and 173

LCM of 169 and 173 is 29237

Least common multiple can be found by multiplying the highest exponent prime factors of 169 and 173. First we will calculate the prime factors of 169 and 173.

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 173


173 173
1

Prime factors of 173 are 173. Prime factorization of 173 in exponential form is:

173 = 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 169 and 173.

LCM(169,173) = 132×1731
LCM(169,173) = 29237

Factors of 169

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

1, 13, 169

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1, 173

Least Common Multiple of 169 and 173 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 173, than apply into the LCM equation.

GCF(169,173) = 1
LCM(169,173) = ( 169 × 173) / 1
LCM(169,173) = 29237 / 1
LCM(169,173) = 29237

Properties of LCM 169 and 173

(i) The LCM of 173 and 169 is associative

LCM of 169 and 173 = LCM of 173 and 169

Related Least Common Multiples of 169

Related Least Common Multiples of 173

Frequently Asked Questions on LCM of 169 and 173

1. What is the LCM of 169 and 173?

Answer: LCM of 169 and 173 is 29237.

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 173?

Answer: Factors of 173 are 1, 173. There are 2 integers that are factors of 173. The greatest factor of 173 is 173.

4. How to Find the LCM of 169 and 173?

Answer:

Least Common Multiple of 169 and 173 = 29237

Step 1: Find the prime factorization of 169

169 = 13 x 13

Step 2: Find the prime factorization of 173

173 = 173

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

LCM = 29237 = 13 x 13 x 173

Step 4: Therefore, the least common multiple of 169 and 173 is 29237.