Least Common Multiple of 2250 and 2257

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 2257 the smallest integer that is 5078250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2257 is 5078250.

LCM(2250,2257) = 5078250

LCM of 2250 and 2257

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

LCM of:
and

Least Common Multiple of 2250 and 2257

LCM of 2250 and 2257 is 5078250

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2257. First we will calculate the prime factors of 2250 and 2257.

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 2257


37 2257
61 61
1

Prime factors of 2257 are 37,61. Prime factorization of 2257 in exponential form is:

2257 = 371×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2250 and 2257.

LCM(2250,2257) = 21×32×53×371×611
LCM(2250,2257) = 5078250

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 2257

List of positive integer factors of 2257 that divides 2257 without a remainder.

1, 37, 61, 2257

Least Common Multiple of 2250 and 2257 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 2257, than apply into the LCM equation.

GCF(2250,2257) = 1
LCM(2250,2257) = ( 2250 × 2257) / 1
LCM(2250,2257) = 5078250 / 1
LCM(2250,2257) = 5078250

Properties of LCM 2250 and 2257

(i) The LCM of 2257 and 2250 is associative

LCM of 2250 and 2257 = LCM of 2257 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2257

Frequently Asked Questions on LCM of 2250 and 2257

1. What is the LCM of 2250 and 2257?

Answer: LCM of 2250 and 2257 is 5078250.

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 2257?

Answer: Factors of 2257 are 1, 37, 61, 2257. There are 4 integers that are factors of 2257. The greatest factor of 2257 is 2257.

4. How to Find the LCM of 2250 and 2257?

Answer:

Least Common Multiple of 2250 and 2257 = 5078250

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 2257

2257 = 37 x 61

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

LCM = 5078250 = 2 x 3 x 3 x 5 x 5 x 5 x 37 x 61

Step 4: Therefore, the least common multiple of 2250 and 2257 is 5078250.