Least Common Multiple of 2248 and 2255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2248 and 2255 the smallest integer that is 5069240 that is divisible by both numbers.

Least Common Multiple (LCM) of 2248 and 2255 is 5069240.

LCM(2248,2255) = 5069240

LCM of 2248 and 2255

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

LCM of:
and

Least Common Multiple of 2248 and 2255

LCM of 2248 and 2255 is 5069240

Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2255. First we will calculate the prime factors of 2248 and 2255.

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

Prime Factorization of 2255


5 2255
11 451
41 41
1

Prime factors of 2255 are 5, 11,41. Prime factorization of 2255 in exponential form is:

2255 = 51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2248 and 2255.

LCM(2248,2255) = 23×51×111×411×2811
LCM(2248,2255) = 5069240

Factors of 2248

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

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

Factors of 2255

List of positive integer factors of 2255 that divides 2255 without a remainder.

1, 5, 11, 41, 55, 205, 451, 2255

Least Common Multiple of 2248 and 2255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2248 and 2255, than apply into the LCM equation.

GCF(2248,2255) = 1
LCM(2248,2255) = ( 2248 × 2255) / 1
LCM(2248,2255) = 5069240 / 1
LCM(2248,2255) = 5069240

Properties of LCM 2248 and 2255

(i) The LCM of 2255 and 2248 is associative

LCM of 2248 and 2255 = LCM of 2255 and 2248

Related Least Common Multiples of 2248

Related Least Common Multiples of 2255

Frequently Asked Questions on LCM of 2248 and 2255

1. What is the LCM of 2248 and 2255?

Answer: LCM of 2248 and 2255 is 5069240.

2. 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.

3. What are the Factors of 2255?

Answer: Factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255. There are 8 integers that are factors of 2255. The greatest factor of 2255 is 2255.

4. How to Find the LCM of 2248 and 2255?

Answer:

Least Common Multiple of 2248 and 2255 = 5069240

Step 1: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 2255

2255 = 5 x 11 x 41

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

LCM = 5069240 = 2 x 2 x 2 x 5 x 11 x 41 x 281

Step 4: Therefore, the least common multiple of 2248 and 2255 is 5069240.