Least Common Multiple of 2241 and 2249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2241 and 2249 the smallest integer that is 5040009 that is divisible by both numbers.

Least Common Multiple (LCM) of 2241 and 2249 is 5040009.

LCM(2241,2249) = 5040009

LCM of 2241 and 2249

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

LCM of:
and

Least Common Multiple of 2241 and 2249

LCM of 2241 and 2249 is 5040009

Least common multiple can be found by multiplying the highest exponent prime factors of 2241 and 2249. First we will calculate the prime factors of 2241 and 2249.

Prime Factorization of 2241


3 2241
3 747
3 249
83 83
1

Prime factors of 2241 are 3,83. Prime factorization of 2241 in exponential form is:

2241 = 33×831

Prime Factorization of 2249


13 2249
173 173
1

Prime factors of 2249 are 13,173. Prime factorization of 2249 in exponential form is:

2249 = 131×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2241 and 2249.

LCM(2241,2249) = 33×131×831×1731
LCM(2241,2249) = 5040009

Factors of 2241

List of positive integer factors of 2241 that divides 2241 without a remainder.

1, 3, 9, 27, 83, 249, 747, 2241

Factors of 2249

List of positive integer factors of 2249 that divides 2249 without a remainder.

1, 13, 173, 2249

Least Common Multiple of 2241 and 2249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2241 and 2249, than apply into the LCM equation.

GCF(2241,2249) = 1
LCM(2241,2249) = ( 2241 × 2249) / 1
LCM(2241,2249) = 5040009 / 1
LCM(2241,2249) = 5040009

Properties of LCM 2241 and 2249

(i) The LCM of 2249 and 2241 is associative

LCM of 2241 and 2249 = LCM of 2249 and 2241

Related Least Common Multiples of 2241

Related Least Common Multiples of 2249

Frequently Asked Questions on LCM of 2241 and 2249

1. What is the LCM of 2241 and 2249?

Answer: LCM of 2241 and 2249 is 5040009.

2. What are the Factors of 2241?

Answer: Factors of 2241 are 1, 3, 9, 27, 83, 249, 747, 2241. There are 8 integers that are factors of 2241. The greatest factor of 2241 is 2241.

3. What are the Factors of 2249?

Answer: Factors of 2249 are 1, 13, 173, 2249. There are 4 integers that are factors of 2249. The greatest factor of 2249 is 2249.

4. How to Find the LCM of 2241 and 2249?

Answer:

Least Common Multiple of 2241 and 2249 = 5040009

Step 1: Find the prime factorization of 2241

2241 = 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 2249

2249 = 13 x 173

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

LCM = 5040009 = 3 x 3 x 3 x 13 x 83 x 173

Step 4: Therefore, the least common multiple of 2241 and 2249 is 5040009.