Least Common Multiple of 2250 and 2255

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 2255 the smallest integer that is 1014750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2255 is 1014750.

LCM(2250,2255) = 1014750

LCM of 2250 and 2255

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

LCM of:
and

Least Common Multiple of 2250 and 2255

LCM of 2250 and 2255 is 1014750

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2255. First we will calculate the prime factors of 2250 and 2255.

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 2255


5 2255
11 451
41 41
1

Prime factors of 2255 are 5, 11,41. Prime factorization of 2255 in exponential form is:

2255 = 51×111×411

Now multiplying the highest exponent prime factors to calculate the LCM of 2250 and 2255.

LCM(2250,2255) = 21×32×53×111×411
LCM(2250,2255) = 1014750

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 2255

List of positive integer factors of 2255 that divides 2255 without a remainder.

1, 5, 11, 41, 55, 205, 451, 2255

Least Common Multiple of 2250 and 2255 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 2255, than apply into the LCM equation.

GCF(2250,2255) = 5
LCM(2250,2255) = ( 2250 × 2255) / 5
LCM(2250,2255) = 5073750 / 5
LCM(2250,2255) = 1014750

Properties of LCM 2250 and 2255

(i) The LCM of 2255 and 2250 is associative

LCM of 2250 and 2255 = LCM of 2255 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2255

Frequently Asked Questions on LCM of 2250 and 2255

1. What is the LCM of 2250 and 2255?

Answer: LCM of 2250 and 2255 is 1014750.

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 2255?

Answer: Factors of 2255 are 1, 5, 11, 41, 55, 205, 451, 2255. There are 8 integers that are factors of 2255. The greatest factor of 2255 is 2255.

4. How to Find the LCM of 2250 and 2255?

Answer:

Least Common Multiple of 2250 and 2255 = 1014750

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 2255

2255 = 5 x 11 x 41

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

LCM = 1014750 = 2 x 3 x 3 x 5 x 5 x 5 x 11 x 41

Step 4: Therefore, the least common multiple of 2250 and 2255 is 1014750.