Least Common Multiple of 173 and 181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 173 and 181 the smallest integer that is 31313 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 181 is 31313.

LCM(173,181) = 31313

LCM of 173 and 181

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

LCM of:
and

Least Common Multiple of 173 and 181

LCM of 173 and 181 is 31313

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 181. First we will calculate the prime factors of 173 and 181.

Prime Factorization of 173


173 173
1

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

173 = 1731

Prime Factorization of 181


181 181
1

Prime factors of 181 are 181. Prime factorization of 181 in exponential form is:

181 = 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 181.

LCM(173,181) = 1731×1811
LCM(173,181) = 31313

Factors of 173

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

1, 173

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1, 181

Least Common Multiple of 173 and 181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 173 and 181, than apply into the LCM equation.

GCF(173,181) = 1
LCM(173,181) = ( 173 × 181) / 1
LCM(173,181) = 31313 / 1
LCM(173,181) = 31313

Properties of LCM 173 and 181

(i) The LCM of 181 and 173 is associative

LCM of 173 and 181 = LCM of 181 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 181

Frequently Asked Questions on LCM of 173 and 181

1. What is the LCM of 173 and 181?

Answer: LCM of 173 and 181 is 31313.

2. 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.

3. What are the Factors of 181?

Answer: Factors of 181 are 1, 181. There are 2 integers that are factors of 181. The greatest factor of 181 is 181.

4. How to Find the LCM of 173 and 181?

Answer:

Least Common Multiple of 173 and 181 = 31313

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 181

181 = 181

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

LCM = 31313 = 173 x 181

Step 4: Therefore, the least common multiple of 173 and 181 is 31313.