Least Common Multiple of 2249 and 2250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2249 and 2250 the smallest integer that is 5060250 that is divisible by both numbers.

Least Common Multiple (LCM) of 2249 and 2250 is 5060250.

LCM(2249,2250) = 5060250

LCM of 2249 and 2250

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

LCM of:
and

Least Common Multiple of 2249 and 2250

LCM of 2249 and 2250 is 5060250

Least common multiple can be found by multiplying the highest exponent prime factors of 2249 and 2250. First we will calculate the prime factors of 2249 and 2250.

Prime Factorization of 2249


13 2249
173 173
1

Prime factors of 2249 are 13,173. Prime factorization of 2249 in exponential form is:

2249 = 131×1731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2249 and 2250.

LCM(2249,2250) = 21×32×53×131×1731
LCM(2249,2250) = 5060250

Factors of 2249

List of positive integer factors of 2249 that divides 2249 without a remainder.

1, 13, 173, 2249

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

Least Common Multiple of 2249 and 2250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2249 and 2250, than apply into the LCM equation.

GCF(2249,2250) = 1
LCM(2249,2250) = ( 2249 × 2250) / 1
LCM(2249,2250) = 5060250 / 1
LCM(2249,2250) = 5060250

Properties of LCM 2249 and 2250

(i) The LCM of 2250 and 2249 is associative

LCM of 2249 and 2250 = LCM of 2250 and 2249

Related Least Common Multiples of 2249

Related Least Common Multiples of 2250

Frequently Asked Questions on LCM of 2249 and 2250

1. What is the LCM of 2249 and 2250?

Answer: LCM of 2249 and 2250 is 5060250.

2. What are the Factors of 2249?

Answer: Factors of 2249 are 1, 13, 173, 2249. There are 4 integers that are factors of 2249. The greatest factor of 2249 is 2249.

3. 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.

4. How to Find the LCM of 2249 and 2250?

Answer:

Least Common Multiple of 2249 and 2250 = 5060250

Step 1: Find the prime factorization of 2249

2249 = 13 x 173

Step 2: Find the prime factorization of 2250

2250 = 2 x 3 x 3 x 5 x 5 x 5

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

LCM = 5060250 = 2 x 3 x 3 x 5 x 5 x 5 x 13 x 173

Step 4: Therefore, the least common multiple of 2249 and 2250 is 5060250.