Least Common Multiple of 2193 and 2199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2193 and 2199 the smallest integer that is 1607469 that is divisible by both numbers.

Least Common Multiple (LCM) of 2193 and 2199 is 1607469.

LCM(2193,2199) = 1607469

LCM of 2193 and 2199

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

LCM of:
and

Least Common Multiple of 2193 and 2199

LCM of 2193 and 2199 is 1607469

Least common multiple can be found by multiplying the highest exponent prime factors of 2193 and 2199. First we will calculate the prime factors of 2193 and 2199.

Prime Factorization of 2193


3 2193
17 731
43 43
1

Prime factors of 2193 are 3, 17,43. Prime factorization of 2193 in exponential form is:

2193 = 31×171×431

Prime Factorization of 2199


3 2199
733 733
1

Prime factors of 2199 are 3,733. Prime factorization of 2199 in exponential form is:

2199 = 31×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 2193 and 2199.

LCM(2193,2199) = 31×171×431×7331
LCM(2193,2199) = 1607469

Factors of 2193

List of positive integer factors of 2193 that divides 2193 without a remainder.

1, 3, 17, 43, 51, 129, 731, 2193

Factors of 2199

List of positive integer factors of 2199 that divides 2199 without a remainder.

1, 3, 733, 2199

Least Common Multiple of 2193 and 2199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2193 and 2199, than apply into the LCM equation.

GCF(2193,2199) = 3
LCM(2193,2199) = ( 2193 × 2199) / 3
LCM(2193,2199) = 4822407 / 3
LCM(2193,2199) = 1607469

Properties of LCM 2193 and 2199

(i) The LCM of 2199 and 2193 is associative

LCM of 2193 and 2199 = LCM of 2199 and 2193

Related Least Common Multiples of 2193

Related Least Common Multiples of 2199

Frequently Asked Questions on LCM of 2193 and 2199

1. What is the LCM of 2193 and 2199?

Answer: LCM of 2193 and 2199 is 1607469.

2. What are the Factors of 2193?

Answer: Factors of 2193 are 1, 3, 17, 43, 51, 129, 731, 2193. There are 8 integers that are factors of 2193. The greatest factor of 2193 is 2193.

3. What are the Factors of 2199?

Answer: Factors of 2199 are 1, 3, 733, 2199. There are 4 integers that are factors of 2199. The greatest factor of 2199 is 2199.

4. How to Find the LCM of 2193 and 2199?

Answer:

Least Common Multiple of 2193 and 2199 = 1607469

Step 1: Find the prime factorization of 2193

2193 = 3 x 17 x 43

Step 2: Find the prime factorization of 2199

2199 = 3 x 733

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

LCM = 1607469 = 3 x 17 x 43 x 733

Step 4: Therefore, the least common multiple of 2193 and 2199 is 1607469.