Least Common Multiple of 2209 and 2217

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 2217 the smallest integer that is 4897353 that is divisible by both numbers.

Least Common Multiple (LCM) of 2209 and 2217 is 4897353.

LCM(2209,2217) = 4897353

LCM of 2209 and 2217

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

LCM of:
and

Least Common Multiple of 2209 and 2217

LCM of 2209 and 2217 is 4897353

Least common multiple can be found by multiplying the highest exponent prime factors of 2209 and 2217. First we will calculate the prime factors of 2209 and 2217.

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 2217


3 2217
739 739
1

Prime factors of 2217 are 3,739. Prime factorization of 2217 in exponential form is:

2217 = 31×7391

Now multiplying the highest exponent prime factors to calculate the LCM of 2209 and 2217.

LCM(2209,2217) = 31×472×7391
LCM(2209,2217) = 4897353

Factors of 2209

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

1, 47, 2209

Factors of 2217

List of positive integer factors of 2217 that divides 2217 without a remainder.

1, 3, 739, 2217

Least Common Multiple of 2209 and 2217 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 2217, than apply into the LCM equation.

GCF(2209,2217) = 1
LCM(2209,2217) = ( 2209 × 2217) / 1
LCM(2209,2217) = 4897353 / 1
LCM(2209,2217) = 4897353

Properties of LCM 2209 and 2217

(i) The LCM of 2217 and 2209 is associative

LCM of 2209 and 2217 = LCM of 2217 and 2209

Related Least Common Multiples of 2209

Related Least Common Multiples of 2217

Frequently Asked Questions on LCM of 2209 and 2217

1. What is the LCM of 2209 and 2217?

Answer: LCM of 2209 and 2217 is 4897353.

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 2217?

Answer: Factors of 2217 are 1, 3, 739, 2217. There are 4 integers that are factors of 2217. The greatest factor of 2217 is 2217.

4. How to Find the LCM of 2209 and 2217?

Answer:

Least Common Multiple of 2209 and 2217 = 4897353

Step 1: Find the prime factorization of 2209

2209 = 47 x 47

Step 2: Find the prime factorization of 2217

2217 = 3 x 739

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

LCM = 4897353 = 3 x 47 x 47 x 739

Step 4: Therefore, the least common multiple of 2209 and 2217 is 4897353.