Least Common Multiple of 2244 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 2244 and 2250 the smallest integer that is 841500 that is divisible by both numbers.

Least Common Multiple (LCM) of 2244 and 2250 is 841500.

LCM(2244,2250) = 841500

LCM of 2244 and 2250

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

LCM of:
and

Least Common Multiple of 2244 and 2250

LCM of 2244 and 2250 is 841500

Least common multiple can be found by multiplying the highest exponent prime factors of 2244 and 2250. First we will calculate the prime factors of 2244 and 2250.

Prime Factorization of 2244


2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 2244 are 2, 3, 11,17. Prime factorization of 2244 in exponential form is:

2244 = 22×31×111×171

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 2244 and 2250.

LCM(2244,2250) = 22×32×53×111×171
LCM(2244,2250) = 841500

Factors of 2244

List of positive integer factors of 2244 that divides 2244 without a remainder.

1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244

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 2244 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 2244 and 2250, than apply into the LCM equation.

GCF(2244,2250) = 6
LCM(2244,2250) = ( 2244 × 2250) / 6
LCM(2244,2250) = 5049000 / 6
LCM(2244,2250) = 841500

Properties of LCM 2244 and 2250

(i) The LCM of 2250 and 2244 is associative

LCM of 2244 and 2250 = LCM of 2250 and 2244

Related Least Common Multiples of 2244

Related Least Common Multiples of 2250

Frequently Asked Questions on LCM of 2244 and 2250

1. What is the LCM of 2244 and 2250?

Answer: LCM of 2244 and 2250 is 841500.

2. What are the Factors of 2244?

Answer: Factors of 2244 are 1, 2, 3, 4, 6, 11, 12, 17, 22, 33, 34, 44, 51, 66, 68, 102, 132, 187, 204, 374, 561, 748, 1122, 2244. There are 24 integers that are factors of 2244. The greatest factor of 2244 is 2244.

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 2244 and 2250?

Answer:

Least Common Multiple of 2244 and 2250 = 841500

Step 1: Find the prime factorization of 2244

2244 = 2 x 2 x 3 x 11 x 17

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 = 841500 = 2 x 2 x 3 x 3 x 5 x 5 x 5 x 11 x 17

Step 4: Therefore, the least common multiple of 2244 and 2250 is 841500.