Least Common Multiple of 28244 and 28250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 28244 and 28250 the smallest integer that is 398946500 that is divisible by both numbers.

Least Common Multiple (LCM) of 28244 and 28250 is 398946500.

LCM(28244,28250) = 398946500

LCM of 28244 and 28250

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

LCM of:
and

Least Common Multiple of 28244 and 28250

LCM of 28244 and 28250 is 398946500

Least common multiple can be found by multiplying the highest exponent prime factors of 28244 and 28250. First we will calculate the prime factors of 28244 and 28250.

Prime Factorization of 28244


2 28244
2 14122
23 7061
307 307
1

Prime factors of 28244 are 2, 23,307. Prime factorization of 28244 in exponential form is:

28244 = 22×231×3071

Prime Factorization of 28250


2 28250
5 14125
5 2825
5 565
113 113
1

Prime factors of 28250 are 2, 5,113. Prime factorization of 28250 in exponential form is:

28250 = 21×53×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 28244 and 28250.

LCM(28244,28250) = 22×53×231×1131×3071
LCM(28244,28250) = 398946500

Factors of 28244

List of positive integer factors of 28244 that divides 28244 without a remainder.

1, 2, 4, 23, 46, 92, 307, 614, 1228, 7061, 14122, 28244

Factors of 28250

List of positive integer factors of 28250 that divides 28250 without a remainder.

1, 2, 5, 10, 25, 50, 113, 125, 226, 250, 565, 1130, 2825, 5650, 14125, 28250

Least Common Multiple of 28244 and 28250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28244 and 28250, than apply into the LCM equation.

GCF(28244,28250) = 2
LCM(28244,28250) = ( 28244 × 28250) / 2
LCM(28244,28250) = 797893000 / 2
LCM(28244,28250) = 398946500

Properties of LCM 28244 and 28250

(i) The LCM of 28250 and 28244 is associative

LCM of 28244 and 28250 = LCM of 28250 and 28244

Related Least Common Multiples of 28244

Related Least Common Multiples of 28250

Frequently Asked Questions on LCM of 28244 and 28250

1. What is the LCM of 28244 and 28250?

Answer: LCM of 28244 and 28250 is 398946500.

2. What are the Factors of 28244?

Answer: Factors of 28244 are 1, 2, 4, 23, 46, 92, 307, 614, 1228, 7061, 14122, 28244. There are 12 integers that are factors of 28244. The greatest factor of 28244 is 28244.

3. What are the Factors of 28250?

Answer: Factors of 28250 are 1, 2, 5, 10, 25, 50, 113, 125, 226, 250, 565, 1130, 2825, 5650, 14125, 28250. There are 16 integers that are factors of 28250. The greatest factor of 28250 is 28250.

4. How to Find the LCM of 28244 and 28250?

Answer:

Least Common Multiple of 28244 and 28250 = 398946500

Step 1: Find the prime factorization of 28244

28244 = 2 x 2 x 23 x 307

Step 2: Find the prime factorization of 28250

28250 = 2 x 5 x 5 x 5 x 113

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

LCM = 398946500 = 2 x 2 x 5 x 5 x 5 x 23 x 113 x 307

Step 4: Therefore, the least common multiple of 28244 and 28250 is 398946500.