Least Common Multiple of 2241 and 2248

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 2248 the smallest integer that is 5037768 that is divisible by both numbers.

Least Common Multiple (LCM) of 2241 and 2248 is 5037768.

LCM(2241,2248) = 5037768

LCM of 2241 and 2248

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

LCM of:
and

Least Common Multiple of 2241 and 2248

LCM of 2241 and 2248 is 5037768

Least common multiple can be found by multiplying the highest exponent prime factors of 2241 and 2248. First we will calculate the prime factors of 2241 and 2248.

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 2248


2 2248
2 1124
2 562
281 281
1

Prime factors of 2248 are 2,281. Prime factorization of 2248 in exponential form is:

2248 = 23×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 2241 and 2248.

LCM(2241,2248) = 23×33×831×2811
LCM(2241,2248) = 5037768

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 2248

List of positive integer factors of 2248 that divides 2248 without a remainder.

1, 2, 4, 8, 281, 562, 1124, 2248

Least Common Multiple of 2241 and 2248 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 2248, than apply into the LCM equation.

GCF(2241,2248) = 1
LCM(2241,2248) = ( 2241 × 2248) / 1
LCM(2241,2248) = 5037768 / 1
LCM(2241,2248) = 5037768

Properties of LCM 2241 and 2248

(i) The LCM of 2248 and 2241 is associative

LCM of 2241 and 2248 = LCM of 2248 and 2241

Related Least Common Multiples of 2241

Related Least Common Multiples of 2248

Frequently Asked Questions on LCM of 2241 and 2248

1. What is the LCM of 2241 and 2248?

Answer: LCM of 2241 and 2248 is 5037768.

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 2248?

Answer: Factors of 2248 are 1, 2, 4, 8, 281, 562, 1124, 2248. There are 8 integers that are factors of 2248. The greatest factor of 2248 is 2248.

4. How to Find the LCM of 2241 and 2248?

Answer:

Least Common Multiple of 2241 and 2248 = 5037768

Step 1: Find the prime factorization of 2241

2241 = 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

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

LCM = 5037768 = 2 x 2 x 2 x 3 x 3 x 3 x 83 x 281

Step 4: Therefore, the least common multiple of 2241 and 2248 is 5037768.