Least Common Multiple of 2250 and 2254

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 2254 the smallest integer that is 2535750 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2254 is 2535750.

LCM(2250,2254) = 2535750

LCM of 2250 and 2254

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

LCM of:
and

Least Common Multiple of 2250 and 2254

LCM of 2250 and 2254 is 2535750

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2254. First we will calculate the prime factors of 2250 and 2254.

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 2254


2 2254
7 1127
7 161
23 23
1

Prime factors of 2254 are 2, 7,23. Prime factorization of 2254 in exponential form is:

2254 = 21×72×231

Now multiplying the highest exponent prime factors to calculate the LCM of 2250 and 2254.

LCM(2250,2254) = 21×32×53×72×231
LCM(2250,2254) = 2535750

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 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254

Least Common Multiple of 2250 and 2254 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 2254, than apply into the LCM equation.

GCF(2250,2254) = 2
LCM(2250,2254) = ( 2250 × 2254) / 2
LCM(2250,2254) = 5071500 / 2
LCM(2250,2254) = 2535750

Properties of LCM 2250 and 2254

(i) The LCM of 2254 and 2250 is associative

LCM of 2250 and 2254 = LCM of 2254 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2254

Frequently Asked Questions on LCM of 2250 and 2254

1. What is the LCM of 2250 and 2254?

Answer: LCM of 2250 and 2254 is 2535750.

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 2254?

Answer: Factors of 2254 are 1, 2, 7, 14, 23, 46, 49, 98, 161, 322, 1127, 2254. There are 12 integers that are factors of 2254. The greatest factor of 2254 is 2254.

4. How to Find the LCM of 2250 and 2254?

Answer:

Least Common Multiple of 2250 and 2254 = 2535750

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 2254

2254 = 2 x 7 x 7 x 23

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

LCM = 2535750 = 2 x 3 x 3 x 5 x 5 x 5 x 7 x 7 x 23

Step 4: Therefore, the least common multiple of 2250 and 2254 is 2535750.