Least Common Multiple of 2199 and 2203

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2199 and 2203 the smallest integer that is 4844397 that is divisible by both numbers.

Least Common Multiple (LCM) of 2199 and 2203 is 4844397.

LCM(2199,2203) = 4844397

LCM of 2199 and 2203

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

LCM of:
and

Least Common Multiple of 2199 and 2203

LCM of 2199 and 2203 is 4844397

Least common multiple can be found by multiplying the highest exponent prime factors of 2199 and 2203. First we will calculate the prime factors of 2199 and 2203.

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

Prime Factorization of 2203


2203 2203
1

Prime factors of 2203 are 2203. Prime factorization of 2203 in exponential form is:

2203 = 22031

Now multiplying the highest exponent prime factors to calculate the LCM of 2199 and 2203.

LCM(2199,2203) = 31×7331×22031
LCM(2199,2203) = 4844397

Factors of 2199

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

1, 3, 733, 2199

Factors of 2203

List of positive integer factors of 2203 that divides 2203 without a remainder.

1, 2203

Least Common Multiple of 2199 and 2203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2199 and 2203, than apply into the LCM equation.

GCF(2199,2203) = 1
LCM(2199,2203) = ( 2199 × 2203) / 1
LCM(2199,2203) = 4844397 / 1
LCM(2199,2203) = 4844397

Properties of LCM 2199 and 2203

(i) The LCM of 2203 and 2199 is associative

LCM of 2199 and 2203 = LCM of 2203 and 2199

Related Least Common Multiples of 2199

Related Least Common Multiples of 2203

Frequently Asked Questions on LCM of 2199 and 2203

1. What is the LCM of 2199 and 2203?

Answer: LCM of 2199 and 2203 is 4844397.

2. 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.

3. What are the Factors of 2203?

Answer: Factors of 2203 are 1, 2203. There are 2 integers that are factors of 2203. The greatest factor of 2203 is 2203.

4. How to Find the LCM of 2199 and 2203?

Answer:

Least Common Multiple of 2199 and 2203 = 4844397

Step 1: Find the prime factorization of 2199

2199 = 3 x 733

Step 2: Find the prime factorization of 2203

2203 = 2203

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

LCM = 4844397 = 3 x 733 x 2203

Step 4: Therefore, the least common multiple of 2199 and 2203 is 4844397.