Least Common Multiple of 2250 and 2252

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 2252 the smallest integer that is 2533500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2252 is 2533500.

LCM(2250,2252) = 2533500

LCM of 2250 and 2252

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

LCM of:
and

Least Common Multiple of 2250 and 2252

LCM of 2250 and 2252 is 2533500

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2252. First we will calculate the prime factors of 2250 and 2252.

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 2252


2 2252
2 1126
563 563
1

Prime factors of 2252 are 2,563. Prime factorization of 2252 in exponential form is:

2252 = 22×5631

Now multiplying the highest exponent prime factors to calculate the LCM of 2250 and 2252.

LCM(2250,2252) = 22×32×53×5631
LCM(2250,2252) = 2533500

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 2252

List of positive integer factors of 2252 that divides 2252 without a remainder.

1, 2, 4, 563, 1126, 2252

Least Common Multiple of 2250 and 2252 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 2252, than apply into the LCM equation.

GCF(2250,2252) = 2
LCM(2250,2252) = ( 2250 × 2252) / 2
LCM(2250,2252) = 5067000 / 2
LCM(2250,2252) = 2533500

Properties of LCM 2250 and 2252

(i) The LCM of 2252 and 2250 is associative

LCM of 2250 and 2252 = LCM of 2252 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2252

Frequently Asked Questions on LCM of 2250 and 2252

1. What is the LCM of 2250 and 2252?

Answer: LCM of 2250 and 2252 is 2533500.

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 2252?

Answer: Factors of 2252 are 1, 2, 4, 563, 1126, 2252. There are 6 integers that are factors of 2252. The greatest factor of 2252 is 2252.

4. How to Find the LCM of 2250 and 2252?

Answer:

Least Common Multiple of 2250 and 2252 = 2533500

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 2252

2252 = 2 x 2 x 563

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

LCM = 2533500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 563

Step 4: Therefore, the least common multiple of 2250 and 2252 is 2533500.