Least Common Multiple of 2200 and 2204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2200 and 2204 the smallest integer that is 1212200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2200 and 2204 is 1212200.

LCM(2200,2204) = 1212200

LCM of 2200 and 2204

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

LCM of:
and

Least Common Multiple of 2200 and 2204

LCM of 2200 and 2204 is 1212200

Least common multiple can be found by multiplying the highest exponent prime factors of 2200 and 2204. First we will calculate the prime factors of 2200 and 2204.

Prime Factorization of 2200


2 2200
2 1100
2 550
5 275
5 55
11 11
1

Prime factors of 2200 are 2, 5,11. Prime factorization of 2200 in exponential form is:

2200 = 23×52×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2200 and 2204.

LCM(2200,2204) = 23×52×111×191×291
LCM(2200,2204) = 1212200

Factors of 2200

List of positive integer factors of 2200 that divides 2200 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200

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

Least Common Multiple of 2200 and 2204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2200 and 2204, than apply into the LCM equation.

GCF(2200,2204) = 4
LCM(2200,2204) = ( 2200 × 2204) / 4
LCM(2200,2204) = 4848800 / 4
LCM(2200,2204) = 1212200

Properties of LCM 2200 and 2204

(i) The LCM of 2204 and 2200 is associative

LCM of 2200 and 2204 = LCM of 2204 and 2200

Related Least Common Multiples of 2200

Related Least Common Multiples of 2204

Frequently Asked Questions on LCM of 2200 and 2204

1. What is the LCM of 2200 and 2204?

Answer: LCM of 2200 and 2204 is 1212200.

2. What are the Factors of 2200?

Answer: Factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200. There are 24 integers that are factors of 2200. The greatest factor of 2200 is 2200.

3. 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.

4. How to Find the LCM of 2200 and 2204?

Answer:

Least Common Multiple of 2200 and 2204 = 1212200

Step 1: Find the prime factorization of 2200

2200 = 2 x 2 x 2 x 5 x 5 x 11

Step 2: Find the prime factorization of 2204

2204 = 2 x 2 x 19 x 29

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

LCM = 1212200 = 2 x 2 x 2 x 5 x 5 x 11 x 19 x 29

Step 4: Therefore, the least common multiple of 2200 and 2204 is 1212200.