Least Common Multiple of 2250 and 2258

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 2258 the smallest integer that is 2540250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2250 and 2258 is 2540250.

LCM(2250,2258) = 2540250

LCM of 2250 and 2258

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

LCM of:
and

Least Common Multiple of 2250 and 2258

LCM of 2250 and 2258 is 2540250

Least common multiple can be found by multiplying the highest exponent prime factors of 2250 and 2258. First we will calculate the prime factors of 2250 and 2258.

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 2258


2 2258
1129 1129
1

Prime factors of 2258 are 2,1129. Prime factorization of 2258 in exponential form is:

2258 = 21×11291

Now multiplying the highest exponent prime factors to calculate the LCM of 2250 and 2258.

LCM(2250,2258) = 21×32×53×11291
LCM(2250,2258) = 2540250

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 2258

List of positive integer factors of 2258 that divides 2258 without a remainder.

1, 2, 1129, 2258

Least Common Multiple of 2250 and 2258 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 2258, than apply into the LCM equation.

GCF(2250,2258) = 2
LCM(2250,2258) = ( 2250 × 2258) / 2
LCM(2250,2258) = 5080500 / 2
LCM(2250,2258) = 2540250

Properties of LCM 2250 and 2258

(i) The LCM of 2258 and 2250 is associative

LCM of 2250 and 2258 = LCM of 2258 and 2250

Related Least Common Multiples of 2250

Related Least Common Multiples of 2258

Frequently Asked Questions on LCM of 2250 and 2258

1. What is the LCM of 2250 and 2258?

Answer: LCM of 2250 and 2258 is 2540250.

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 2258?

Answer: Factors of 2258 are 1, 2, 1129, 2258. There are 4 integers that are factors of 2258. The greatest factor of 2258 is 2258.

4. How to Find the LCM of 2250 and 2258?

Answer:

Least Common Multiple of 2250 and 2258 = 2540250

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 2258

2258 = 2 x 1129

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

LCM = 2540250 = 2 x 3 x 3 x 5 x 5 x 5 x 1129

Step 4: Therefore, the least common multiple of 2250 and 2258 is 2540250.