Least Common Multiple of 2204 and 2208

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 2208 the smallest integer that is 1216608 that is divisible by both numbers.

Least Common Multiple (LCM) of 2204 and 2208 is 1216608.

LCM(2204,2208) = 1216608

LCM of 2204 and 2208

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

LCM of:
and

Least Common Multiple of 2204 and 2208

LCM of 2204 and 2208 is 1216608

Least common multiple can be found by multiplying the highest exponent prime factors of 2204 and 2208. First we will calculate the prime factors of 2204 and 2208.

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 2208


2 2208
2 1104
2 552
2 276
2 138
3 69
23 23
1

Prime factors of 2208 are 2, 3,23. Prime factorization of 2208 in exponential form is:

2208 = 25×31×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2204 and 2208.

LCM(2204,2208) = 25×31×191×231×291
LCM(2204,2208) = 1216608

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 2208

List of positive integer factors of 2208 that divides 2208 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208

Least Common Multiple of 2204 and 2208 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 2208, than apply into the LCM equation.

GCF(2204,2208) = 4
LCM(2204,2208) = ( 2204 × 2208) / 4
LCM(2204,2208) = 4866432 / 4
LCM(2204,2208) = 1216608

Properties of LCM 2204 and 2208

(i) The LCM of 2208 and 2204 is associative

LCM of 2204 and 2208 = LCM of 2208 and 2204

Related Least Common Multiples of 2204

Related Least Common Multiples of 2208

Frequently Asked Questions on LCM of 2204 and 2208

1. What is the LCM of 2204 and 2208?

Answer: LCM of 2204 and 2208 is 1216608.

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 2208?

Answer: Factors of 2208 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 32, 46, 48, 69, 92, 96, 138, 184, 276, 368, 552, 736, 1104, 2208. There are 24 integers that are factors of 2208. The greatest factor of 2208 is 2208.

4. How to Find the LCM of 2204 and 2208?

Answer:

Least Common Multiple of 2204 and 2208 = 1216608

Step 1: Find the prime factorization of 2204

2204 = 2 x 2 x 19 x 29

Step 2: Find the prime factorization of 2208

2208 = 2 x 2 x 2 x 2 x 2 x 3 x 23

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

LCM = 1216608 = 2 x 2 x 2 x 2 x 2 x 3 x 19 x 23 x 29

Step 4: Therefore, the least common multiple of 2204 and 2208 is 1216608.