Least Common Multiple of 2209 and 2213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2209 and 2213 the smallest integer that is 4888517 that is divisible by both numbers.

Least Common Multiple (LCM) of 2209 and 2213 is 4888517.

LCM(2209,2213) = 4888517

LCM of 2209 and 2213

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

LCM of:
and

Least Common Multiple of 2209 and 2213

LCM of 2209 and 2213 is 4888517

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2213. First we will calculate the prime factors of 2209 and 2213.

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

Prime Factorization of 2213


2213 2213
1

Prime factors of 2213 are 2213. Prime factorization of 2213 in exponential form is:

2213 = 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2213.

LCM(2209,2213) = 472×22131
LCM(2209,2213) = 4888517

Factors of 2209

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

1, 47, 2209

Factors of 2213

List of positive integer factors of 2213 that divides 2213 without a remainder.

1, 2213

Least Common Multiple of 2209 and 2213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2209 and 2213, than apply into the LCM equation.

GCF(2209,2213) = 1
LCM(2209,2213) = ( 2209 × 2213) / 1
LCM(2209,2213) = 4888517 / 1
LCM(2209,2213) = 4888517

Properties of LCM 2209 and 2213

(i) The LCM of 2213 and 2209 is associative

LCM of 2209 and 2213 = LCM of 2213 and 2209

Related Least Common Multiples of 2209

Related Least Common Multiples of 2213

Frequently Asked Questions on LCM of 2209 and 2213

1. What is the LCM of 2209 and 2213?

Answer: LCM of 2209 and 2213 is 4888517.

2. 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.

3. What are the Factors of 2213?

Answer: Factors of 2213 are 1, 2213. There are 2 integers that are factors of 2213. The greatest factor of 2213 is 2213.

4. How to Find the LCM of 2209 and 2213?

Answer:

Least Common Multiple of 2209 and 2213 = 4888517

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2213

2213 = 2213

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

LCM = 4888517 = 47 x 47 x 2213

Step 4: Therefore, the least common multiple of 2209 and 2213 is 4888517.