Least Common Multiple of 2205 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 2205 and 2213 the smallest integer that is 4879665 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2213 is 4879665.

LCM(2205,2213) = 4879665

LCM of 2205 and 2213

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

LCM of:
and

Least Common Multiple of 2205 and 2213

LCM of 2205 and 2213 is 4879665

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2213. First we will calculate the prime factors of 2205 and 2213.

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 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 2205 and 2213.

LCM(2205,2213) = 32×51×72×22131
LCM(2205,2213) = 4879665

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 2213

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

1, 2213

Least Common Multiple of 2205 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 2205 and 2213, than apply into the LCM equation.

GCF(2205,2213) = 1
LCM(2205,2213) = ( 2205 × 2213) / 1
LCM(2205,2213) = 4879665 / 1
LCM(2205,2213) = 4879665

Properties of LCM 2205 and 2213

(i) The LCM of 2213 and 2205 is associative

LCM of 2205 and 2213 = LCM of 2213 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2213

Frequently Asked Questions on LCM of 2205 and 2213

1. What is the LCM of 2205 and 2213?

Answer: LCM of 2205 and 2213 is 4879665.

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 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 2205 and 2213?

Answer:

Least Common Multiple of 2205 and 2213 = 4879665

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 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 = 4879665 = 3 x 3 x 5 x 7 x 7 x 2213

Step 4: Therefore, the least common multiple of 2205 and 2213 is 4879665.