Least Common Multiple of 2203 and 2209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2203 and 2209 the smallest integer that is 4866427 that is divisible by both numbers.

Least Common Multiple (LCM) of 2203 and 2209 is 4866427.

LCM(2203,2209) = 4866427

LCM of 2203 and 2209

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

LCM of:
and

Least Common Multiple of 2203 and 2209

LCM of 2203 and 2209 is 4866427

Least common multiple can be found by multiplying the highest exponent prime factors of 2203 and 2209. First we will calculate the prime factors of 2203 and 2209.

Prime Factorization of 2203


2203 2203
1

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

2203 = 22031

Prime Factorization of 2209


47 2209
47 47
1

Prime factors of 2209 are 47. Prime factorization of 2209 in exponential form is:

2209 = 472

Now multiplying the highest exponent prime factors to calculate the LCM of 2203 and 2209.

LCM(2203,2209) = 472×22031
LCM(2203,2209) = 4866427

Factors of 2203

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

1, 2203

Factors of 2209

List of positive integer factors of 2209 that divides 2209 without a remainder.

1, 47, 2209

Least Common Multiple of 2203 and 2209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2203 and 2209, than apply into the LCM equation.

GCF(2203,2209) = 1
LCM(2203,2209) = ( 2203 × 2209) / 1
LCM(2203,2209) = 4866427 / 1
LCM(2203,2209) = 4866427

Properties of LCM 2203 and 2209

(i) The LCM of 2209 and 2203 is associative

LCM of 2203 and 2209 = LCM of 2209 and 2203

Related Least Common Multiples of 2203

Related Least Common Multiples of 2209

Frequently Asked Questions on LCM of 2203 and 2209

1. What is the LCM of 2203 and 2209?

Answer: LCM of 2203 and 2209 is 4866427.

2. 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.

3. What are the Factors of 2209?

Answer: Factors of 2209 are 1, 47, 2209. There are 3 integers that are factors of 2209. The greatest factor of 2209 is 2209.

4. How to Find the LCM of 2203 and 2209?

Answer:

Least Common Multiple of 2203 and 2209 = 4866427

Step 1: Find the prime factorization of 2203

2203 = 2203

Step 2: Find the prime factorization of 2209

2209 = 47 x 47

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

LCM = 4866427 = 47 x 47 x 2203

Step 4: Therefore, the least common multiple of 2203 and 2209 is 4866427.