Least Common Multiple of 2250 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 2250 and 2253 the smallest integer that is 1689750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2253 is 1689750.

LCM(2250,2253) = 1689750

LCM of 2250 and 2253

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

LCM of:
and

Least Common Multiple of 2250 and 2253

LCM of 2250 and 2253 is 1689750

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2253. First we will calculate the prime factors of 2250 and 2253.

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

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 2250 and 2253.

LCM(2250,2253) = 21×32×53×7511
LCM(2250,2253) = 1689750

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

Factors of 2253

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

1, 3, 751, 2253

Least Common Multiple of 2250 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 2250 and 2253, than apply into the LCM equation.

GCF(2250,2253) = 3
LCM(2250,2253) = ( 2250 × 2253) / 3
LCM(2250,2253) = 5069250 / 3
LCM(2250,2253) = 1689750

Properties of LCM 2250 and 2253

(i) The LCM of 2253 and 2250 is associative

LCM of 2250 and 2253 = LCM of 2253 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2253

Frequently Asked Questions on LCM of 2250 and 2253

1. What is the LCM of 2250 and 2253?

Answer: LCM of 2250 and 2253 is 1689750.

2. 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.

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 2250 and 2253?

Answer:

Least Common Multiple of 2250 and 2253 = 1689750

Step 1: Find the prime factorization of 2250

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

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 = 1689750 = 2 x 3 x 3 x 5 x 5 x 5 x 751

Step 4: Therefore, the least common multiple of 2250 and 2253 is 1689750.