Least Common Multiple of 2205 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 2205 and 2209 the smallest integer that is 4870845 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2209 is 4870845.

LCM(2205,2209) = 4870845

LCM of 2205 and 2209

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

LCM of:
and

Least Common Multiple of 2205 and 2209

LCM of 2205 and 2209 is 4870845

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2209. First we will calculate the prime factors of 2205 and 2209.

Prime Factorization of 2205


3 2205
3 735
5 245
7 49
7 7
1

Prime factors of 2205 are 3, 5,7. Prime factorization of 2205 in exponential form is:

2205 = 32×51×72

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 2205 and 2209.

LCM(2205,2209) = 32×51×72×472
LCM(2205,2209) = 4870845

Factors of 2205

List of positive integer factors of 2205 that divides 2205 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205

Factors of 2209

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

1, 47, 2209

Least Common Multiple of 2205 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 2205 and 2209, than apply into the LCM equation.

GCF(2205,2209) = 1
LCM(2205,2209) = ( 2205 × 2209) / 1
LCM(2205,2209) = 4870845 / 1
LCM(2205,2209) = 4870845

Properties of LCM 2205 and 2209

(i) The LCM of 2209 and 2205 is associative

LCM of 2205 and 2209 = LCM of 2209 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2209

Frequently Asked Questions on LCM of 2205 and 2209

1. What is the LCM of 2205 and 2209?

Answer: LCM of 2205 and 2209 is 4870845.

2. What are the Factors of 2205?

Answer: Factors of 2205 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 49, 63, 105, 147, 245, 315, 441, 735, 2205. There are 18 integers that are factors of 2205. The greatest factor of 2205 is 2205.

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 2205 and 2209?

Answer:

Least Common Multiple of 2205 and 2209 = 4870845

Step 1: Find the prime factorization of 2205

2205 = 3 x 3 x 5 x 7 x 7

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 = 4870845 = 3 x 3 x 5 x 7 x 7 x 47 x 47

Step 4: Therefore, the least common multiple of 2205 and 2209 is 4870845.