Least Common Multiple of 2205 and 2210

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 2210 the smallest integer that is 974610 that is divisible by both numbers.

Least Common Multiple (LCM) of 2205 and 2210 is 974610.

LCM(2205,2210) = 974610

LCM of 2205 and 2210

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

LCM of:
and

Least Common Multiple of 2205 and 2210

LCM of 2205 and 2210 is 974610

Least common multiple can be found by multiplying the highest exponent prime factors of 2205 and 2210. First we will calculate the prime factors of 2205 and 2210.

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 2210


2 2210
5 1105
13 221
17 17
1

Prime factors of 2210 are 2, 5, 13,17. Prime factorization of 2210 in exponential form is:

2210 = 21×51×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2205 and 2210.

LCM(2205,2210) = 21×32×51×72×131×171
LCM(2205,2210) = 974610

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 2210

List of positive integer factors of 2210 that divides 2210 without a remainder.

1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210

Least Common Multiple of 2205 and 2210 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 2210, than apply into the LCM equation.

GCF(2205,2210) = 5
LCM(2205,2210) = ( 2205 × 2210) / 5
LCM(2205,2210) = 4873050 / 5
LCM(2205,2210) = 974610

Properties of LCM 2205 and 2210

(i) The LCM of 2210 and 2205 is associative

LCM of 2205 and 2210 = LCM of 2210 and 2205

Related Least Common Multiples of 2205

Related Least Common Multiples of 2210

Frequently Asked Questions on LCM of 2205 and 2210

1. What is the LCM of 2205 and 2210?

Answer: LCM of 2205 and 2210 is 974610.

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 2210?

Answer: Factors of 2210 are 1, 2, 5, 10, 13, 17, 26, 34, 65, 85, 130, 170, 221, 442, 1105, 2210. There are 16 integers that are factors of 2210. The greatest factor of 2210 is 2210.

4. How to Find the LCM of 2205 and 2210?

Answer:

Least Common Multiple of 2205 and 2210 = 974610

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 2210

2210 = 2 x 5 x 13 x 17

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

LCM = 974610 = 2 x 3 x 3 x 5 x 7 x 7 x 13 x 17

Step 4: Therefore, the least common multiple of 2205 and 2210 is 974610.