Least Common Multiple of 2172 and 2173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2172 and 2173 the smallest integer that is 4719756 that is divisible by both numbers.

Least Common Multiple (LCM) of 2172 and 2173 is 4719756.

LCM(2172,2173) = 4719756

LCM of 2172 and 2173

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

LCM of:
and

Least Common Multiple of 2172 and 2173

LCM of 2172 and 2173 is 4719756

Least common multiple can be found by multiplying the highest exponent prime factors of 2172 and 2173. First we will calculate the prime factors of 2172 and 2173.

Prime Factorization of 2172


2 2172
2 1086
3 543
181 181
1

Prime factors of 2172 are 2, 3,181. Prime factorization of 2172 in exponential form is:

2172 = 22×31×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2172 and 2173.

LCM(2172,2173) = 22×31×411×531×1811
LCM(2172,2173) = 4719756

Factors of 2172

List of positive integer factors of 2172 that divides 2172 without a remainder.

1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172

Factors of 2173

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

1, 41, 53, 2173

Least Common Multiple of 2172 and 2173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2172 and 2173, than apply into the LCM equation.

GCF(2172,2173) = 1
LCM(2172,2173) = ( 2172 × 2173) / 1
LCM(2172,2173) = 4719756 / 1
LCM(2172,2173) = 4719756

Properties of LCM 2172 and 2173

(i) The LCM of 2173 and 2172 is associative

LCM of 2172 and 2173 = LCM of 2173 and 2172

Related Least Common Multiples of 2172

Related Least Common Multiples of 2173

Frequently Asked Questions on LCM of 2172 and 2173

1. What is the LCM of 2172 and 2173?

Answer: LCM of 2172 and 2173 is 4719756.

2. What are the Factors of 2172?

Answer: Factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172. There are 12 integers that are factors of 2172. The greatest factor of 2172 is 2172.

3. 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.

4. How to Find the LCM of 2172 and 2173?

Answer:

Least Common Multiple of 2172 and 2173 = 4719756

Step 1: Find the prime factorization of 2172

2172 = 2 x 2 x 3 x 181

Step 2: Find the prime factorization of 2173

2173 = 41 x 53

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

LCM = 4719756 = 2 x 2 x 3 x 41 x 53 x 181

Step 4: Therefore, the least common multiple of 2172 and 2173 is 4719756.