Least Common Multiple of 2173 and 2180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2173 and 2180 the smallest integer that is 4737140 that is divisible by both numbers.

Least Common Multiple (LCM) of 2173 and 2180 is 4737140.

LCM(2173,2180) = 4737140

LCM of 2173 and 2180

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

LCM of:
and

Least Common Multiple of 2173 and 2180

LCM of 2173 and 2180 is 4737140

Least common multiple can be found by multiplying the highest exponent prime factors of 2173 and 2180. First we will calculate the prime factors of 2173 and 2180.

Prime Factorization of 2173


41 2173
53 53
1

Prime factors of 2173 are 41,53. Prime factorization of 2173 in exponential form is:

2173 = 411×531

Prime Factorization of 2180


2 2180
2 1090
5 545
109 109
1

Prime factors of 2180 are 2, 5,109. Prime factorization of 2180 in exponential form is:

2180 = 22×51×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 2173 and 2180.

LCM(2173,2180) = 22×51×411×531×1091
LCM(2173,2180) = 4737140

Factors of 2173

List of positive integer factors of 2173 that divides 2173 without a remainder.

1, 41, 53, 2173

Factors of 2180

List of positive integer factors of 2180 that divides 2180 without a remainder.

1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180

Least Common Multiple of 2173 and 2180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2173 and 2180, than apply into the LCM equation.

GCF(2173,2180) = 1
LCM(2173,2180) = ( 2173 × 2180) / 1
LCM(2173,2180) = 4737140 / 1
LCM(2173,2180) = 4737140

Properties of LCM 2173 and 2180

(i) The LCM of 2180 and 2173 is associative

LCM of 2173 and 2180 = LCM of 2180 and 2173

Related Least Common Multiples of 2173

Related Least Common Multiples of 2180

Frequently Asked Questions on LCM of 2173 and 2180

1. What is the LCM of 2173 and 2180?

Answer: LCM of 2173 and 2180 is 4737140.

2. What are the Factors of 2173?

Answer: Factors of 2173 are 1, 41, 53, 2173. There are 4 integers that are factors of 2173. The greatest factor of 2173 is 2173.

3. What are the Factors of 2180?

Answer: Factors of 2180 are 1, 2, 4, 5, 10, 20, 109, 218, 436, 545, 1090, 2180. There are 12 integers that are factors of 2180. The greatest factor of 2180 is 2180.

4. How to Find the LCM of 2173 and 2180?

Answer:

Least Common Multiple of 2173 and 2180 = 4737140

Step 1: Find the prime factorization of 2173

2173 = 41 x 53

Step 2: Find the prime factorization of 2180

2180 = 2 x 2 x 5 x 109

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

LCM = 4737140 = 2 x 2 x 5 x 41 x 53 x 109

Step 4: Therefore, the least common multiple of 2173 and 2180 is 4737140.