Least Common Multiple of 173 and 180

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 180 the smallest integer that is 31140 that is divisible by both numbers.

Least Common Multiple (LCM) of 173 and 180 is 31140.

LCM(173,180) = 31140

LCM of 173 and 180

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

LCM of:
and

Least Common Multiple of 173 and 180

LCM of 173 and 180 is 31140

Least common multiple can be found by multiplying the highest exponent prime factors of 173 and 180. First we will calculate the prime factors of 173 and 180.

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 180


2 180
2 90
3 45
3 15
5 5
1

Prime factors of 180 are 2, 3,5. Prime factorization of 180 in exponential form is:

180 = 22×32×51

Now multiplying the highest exponent prime factors to calculate the LCM of 173 and 180.

LCM(173,180) = 22×32×51×1731
LCM(173,180) = 31140

Factors of 173

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

1, 173

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Least Common Multiple of 173 and 180 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 180, than apply into the LCM equation.

GCF(173,180) = 1
LCM(173,180) = ( 173 × 180) / 1
LCM(173,180) = 31140 / 1
LCM(173,180) = 31140

Properties of LCM 173 and 180

(i) The LCM of 180 and 173 is associative

LCM of 173 and 180 = LCM of 180 and 173

Related Least Common Multiples of 173

Related Least Common Multiples of 180

Frequently Asked Questions on LCM of 173 and 180

1. What is the LCM of 173 and 180?

Answer: LCM of 173 and 180 is 31140.

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 180?

Answer: Factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180. There are 18 integers that are factors of 180. The greatest factor of 180 is 180.

4. How to Find the LCM of 173 and 180?

Answer:

Least Common Multiple of 173 and 180 = 31140

Step 1: Find the prime factorization of 173

173 = 173

Step 2: Find the prime factorization of 180

180 = 2 x 2 x 3 x 3 x 5

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

LCM = 31140 = 2 x 2 x 3 x 3 x 5 x 173

Step 4: Therefore, the least common multiple of 173 and 180 is 31140.