Least Common Multiple of 2248 and 2253

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 2253 the smallest integer that is 5064744 that is divisible by both numbers.

Least Common Multiple (LCM) of 2248 and 2253 is 5064744.

LCM(2248,2253) = 5064744

LCM of 2248 and 2253

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

LCM of:
and

Least Common Multiple of 2248 and 2253

LCM of 2248 and 2253 is 5064744

Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2253. First we will calculate the prime factors of 2248 and 2253.

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 2253


3 2253
751 751
1

Prime factors of 2253 are 3,751. Prime factorization of 2253 in exponential form is:

2253 = 31×7511

Now multiplying the highest exponent prime factors to calculate the LCM of 2248 and 2253.

LCM(2248,2253) = 23×31×2811×7511
LCM(2248,2253) = 5064744

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 2253

List of positive integer factors of 2253 that divides 2253 without a remainder.

1, 3, 751, 2253

Least Common Multiple of 2248 and 2253 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 2253, than apply into the LCM equation.

GCF(2248,2253) = 1
LCM(2248,2253) = ( 2248 × 2253) / 1
LCM(2248,2253) = 5064744 / 1
LCM(2248,2253) = 5064744

Properties of LCM 2248 and 2253

(i) The LCM of 2253 and 2248 is associative

LCM of 2248 and 2253 = LCM of 2253 and 2248

Related Least Common Multiples of 2248

Related Least Common Multiples of 2253

Frequently Asked Questions on LCM of 2248 and 2253

1. What is the LCM of 2248 and 2253?

Answer: LCM of 2248 and 2253 is 5064744.

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 2253?

Answer: Factors of 2253 are 1, 3, 751, 2253. There are 4 integers that are factors of 2253. The greatest factor of 2253 is 2253.

4. How to Find the LCM of 2248 and 2253?

Answer:

Least Common Multiple of 2248 and 2253 = 5064744

Step 1: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 2253

2253 = 3 x 751

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

LCM = 5064744 = 2 x 2 x 2 x 3 x 281 x 751

Step 4: Therefore, the least common multiple of 2248 and 2253 is 5064744.