Least Common Multiple of 2243 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 2243 and 2250 the smallest integer that is 5046750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2243 and 2250 is 5046750.

LCM(2243,2250) = 5046750

LCM of 2243 and 2250

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

LCM of:
and

Least Common Multiple of 2243 and 2250

LCM of 2243 and 2250 is 5046750

Least common multiple can be found by multiplying the highest exponent prime factors of 2243 and 2250. First we will calculate the prime factors of 2243 and 2250.

Prime Factorization of 2243


2243 2243
1

Prime factors of 2243 are 2243. Prime factorization of 2243 in exponential form is:

2243 = 22431

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 2243 and 2250.

LCM(2243,2250) = 21×32×53×22431
LCM(2243,2250) = 5046750

Factors of 2243

List of positive integer factors of 2243 that divides 2243 without a remainder.

1, 2243

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 2243 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 2243 and 2250, than apply into the LCM equation.

GCF(2243,2250) = 1
LCM(2243,2250) = ( 2243 × 2250) / 1
LCM(2243,2250) = 5046750 / 1
LCM(2243,2250) = 5046750

Properties of LCM 2243 and 2250

(i) The LCM of 2250 and 2243 is associative

LCM of 2243 and 2250 = LCM of 2250 and 2243

Related Least Common Multiples of 2243

Related Least Common Multiples of 2250

Frequently Asked Questions on LCM of 2243 and 2250

1. What is the LCM of 2243 and 2250?

Answer: LCM of 2243 and 2250 is 5046750.

2. What are the Factors of 2243?

Answer: Factors of 2243 are 1, 2243. There are 2 integers that are factors of 2243. The greatest factor of 2243 is 2243.

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 2243 and 2250?

Answer:

Least Common Multiple of 2243 and 2250 = 5046750

Step 1: Find the prime factorization of 2243

2243 = 2243

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 = 5046750 = 2 x 3 x 3 x 5 x 5 x 5 x 2243

Step 4: Therefore, the least common multiple of 2243 and 2250 is 5046750.