Least Common Multiple of 2204 and 2207

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 2207 the smallest integer that is 4864228 that is divisible by both numbers.

Least Common Multiple (LCM) of 2204 and 2207 is 4864228.

LCM(2204,2207) = 4864228

LCM of 2204 and 2207

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

LCM of:
and

Least Common Multiple of 2204 and 2207

LCM of 2204 and 2207 is 4864228

Least common multiple can be found by multiplying the highest exponent prime factors of 2204 and 2207. First we will calculate the prime factors of 2204 and 2207.

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 2207


2207 2207
1

Prime factors of 2207 are 2207. Prime factorization of 2207 in exponential form is:

2207 = 22071

Now multiplying the highest exponent prime factors to calculate the LCM of 2204 and 2207.

LCM(2204,2207) = 22×191×291×22071
LCM(2204,2207) = 4864228

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 2207

List of positive integer factors of 2207 that divides 2207 without a remainder.

1, 2207

Least Common Multiple of 2204 and 2207 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 2207, than apply into the LCM equation.

GCF(2204,2207) = 1
LCM(2204,2207) = ( 2204 × 2207) / 1
LCM(2204,2207) = 4864228 / 1
LCM(2204,2207) = 4864228

Properties of LCM 2204 and 2207

(i) The LCM of 2207 and 2204 is associative

LCM of 2204 and 2207 = LCM of 2207 and 2204

Related Least Common Multiples of 2204

Related Least Common Multiples of 2207

Frequently Asked Questions on LCM of 2204 and 2207

1. What is the LCM of 2204 and 2207?

Answer: LCM of 2204 and 2207 is 4864228.

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 2207?

Answer: Factors of 2207 are 1, 2207. There are 2 integers that are factors of 2207. The greatest factor of 2207 is 2207.

4. How to Find the LCM of 2204 and 2207?

Answer:

Least Common Multiple of 2204 and 2207 = 4864228

Step 1: Find the prime factorization of 2204

2204 = 2 x 2 x 19 x 29

Step 2: Find the prime factorization of 2207

2207 = 2207

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

LCM = 4864228 = 2 x 2 x 19 x 29 x 2207

Step 4: Therefore, the least common multiple of 2204 and 2207 is 4864228.