Least Common Multiple of 2204 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 2204 and 2210 the smallest integer that is 2435420 that is divisible by both numbers.

Least Common Multiple (LCM) of 2204 and 2210 is 2435420.

LCM(2204,2210) = 2435420

LCM of 2204 and 2210

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

LCM of:
and

Least Common Multiple of 2204 and 2210

LCM of 2204 and 2210 is 2435420

Least common multiple can be found by multiplying the highest exponent prime factors of 2204 and 2210. First we will calculate the prime factors of 2204 and 2210.

Prime Factorization of 2204


2 2204
2 1102
19 551
29 29
1

Prime factors of 2204 are 2, 19,29. Prime factorization of 2204 in exponential form is:

2204 = 22×191×291

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 2204 and 2210.

LCM(2204,2210) = 22×51×131×171×191×291
LCM(2204,2210) = 2435420

Factors of 2204

List of positive integer factors of 2204 that divides 2204 without a remainder.

1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204

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 2204 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 2204 and 2210, than apply into the LCM equation.

GCF(2204,2210) = 2
LCM(2204,2210) = ( 2204 × 2210) / 2
LCM(2204,2210) = 4870840 / 2
LCM(2204,2210) = 2435420

Properties of LCM 2204 and 2210

(i) The LCM of 2210 and 2204 is associative

LCM of 2204 and 2210 = LCM of 2210 and 2204

Related Least Common Multiples of 2204

Related Least Common Multiples of 2210

Frequently Asked Questions on LCM of 2204 and 2210

1. What is the LCM of 2204 and 2210?

Answer: LCM of 2204 and 2210 is 2435420.

2. What are the Factors of 2204?

Answer: Factors of 2204 are 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204. There are 12 integers that are factors of 2204. The greatest factor of 2204 is 2204.

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 2204 and 2210?

Answer:

Least Common Multiple of 2204 and 2210 = 2435420

Step 1: Find the prime factorization of 2204

2204 = 2 x 2 x 19 x 29

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 = 2435420 = 2 x 2 x 5 x 13 x 17 x 19 x 29

Step 4: Therefore, the least common multiple of 2204 and 2210 is 2435420.