Least Common Multiple of 2248 and 2250

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 2250 the smallest integer that is 2529000 that is divisible by both numbers.

Least Common Multiple (LCM) of 2248 and 2250 is 2529000.

LCM(2248,2250) = 2529000

LCM of 2248 and 2250

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

LCM of:
and

Least Common Multiple of 2248 and 2250

LCM of 2248 and 2250 is 2529000

Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2250. First we will calculate the prime factors of 2248 and 2250.

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 2250


2 2250
3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 2250 are 2, 3,5. Prime factorization of 2250 in exponential form is:

2250 = 21×32×53

Now multiplying the highest exponent prime factors to calculate the LCM of 2248 and 2250.

LCM(2248,2250) = 23×32×53×2811
LCM(2248,2250) = 2529000

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 2250

List of positive integer factors of 2250 that divides 2250 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250

Least Common Multiple of 2248 and 2250 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 2250, than apply into the LCM equation.

GCF(2248,2250) = 2
LCM(2248,2250) = ( 2248 × 2250) / 2
LCM(2248,2250) = 5058000 / 2
LCM(2248,2250) = 2529000

Properties of LCM 2248 and 2250

(i) The LCM of 2250 and 2248 is associative

LCM of 2248 and 2250 = LCM of 2250 and 2248

Related Least Common Multiples of 2248

Related Least Common Multiples of 2250

Frequently Asked Questions on LCM of 2248 and 2250

1. What is the LCM of 2248 and 2250?

Answer: LCM of 2248 and 2250 is 2529000.

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 2250?

Answer: Factors of 2250 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 125, 150, 225, 250, 375, 450, 750, 1125, 2250. There are 24 integers that are factors of 2250. The greatest factor of 2250 is 2250.

4. How to Find the LCM of 2248 and 2250?

Answer:

Least Common Multiple of 2248 and 2250 = 2529000

Step 1: Find the prime factorization of 2248

2248 = 2 x 2 x 2 x 281

Step 2: Find the prime factorization of 2250

2250 = 2 x 3 x 3 x 5 x 5 x 5

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

LCM = 2529000 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 5 x 281

Step 4: Therefore, the least common multiple of 2248 and 2250 is 2529000.