Least Common Multiple of 2169 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 2169 and 2173 the smallest integer that is 4713237 that is divisible by both numbers.

Least Common Multiple (LCM) of 2169 and 2173 is 4713237.

LCM(2169,2173) = 4713237

LCM of 2169 and 2173

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

LCM of:
and

Least Common Multiple of 2169 and 2173

LCM of 2169 and 2173 is 4713237

Least common multiple can be found by multiplying the highest exponent prime factors of 2169 and 2173. First we will calculate the prime factors of 2169 and 2173.

Prime Factorization of 2169


3 2169
3 723
241 241
1

Prime factors of 2169 are 3,241. Prime factorization of 2169 in exponential form is:

2169 = 32×2411

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 2169 and 2173.

LCM(2169,2173) = 32×411×531×2411
LCM(2169,2173) = 4713237

Factors of 2169

List of positive integer factors of 2169 that divides 2169 without a remainder.

1, 3, 9, 241, 723, 2169

Factors of 2173

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

1, 41, 53, 2173

Least Common Multiple of 2169 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 2169 and 2173, than apply into the LCM equation.

GCF(2169,2173) = 1
LCM(2169,2173) = ( 2169 × 2173) / 1
LCM(2169,2173) = 4713237 / 1
LCM(2169,2173) = 4713237

Properties of LCM 2169 and 2173

(i) The LCM of 2173 and 2169 is associative

LCM of 2169 and 2173 = LCM of 2173 and 2169

Related Least Common Multiples of 2169

Related Least Common Multiples of 2173

Frequently Asked Questions on LCM of 2169 and 2173

1. What is the LCM of 2169 and 2173?

Answer: LCM of 2169 and 2173 is 4713237.

2. What are the Factors of 2169?

Answer: Factors of 2169 are 1, 3, 9, 241, 723, 2169. There are 6 integers that are factors of 2169. The greatest factor of 2169 is 2169.

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 2169 and 2173?

Answer:

Least Common Multiple of 2169 and 2173 = 4713237

Step 1: Find the prime factorization of 2169

2169 = 3 x 3 x 241

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 = 4713237 = 3 x 3 x 41 x 53 x 241

Step 4: Therefore, the least common multiple of 2169 and 2173 is 4713237.