Least Common Multiple of 8944 and 8950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8944 and 8950 the smallest integer that is 40024400 that is divisible by both numbers.

Least Common Multiple (LCM) of 8944 and 8950 is 40024400.

LCM(8944,8950) = 40024400

LCM of 8944 and 8950

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

LCM of:
and

Least Common Multiple of 8944 and 8950

LCM of 8944 and 8950 is 40024400

Least common multiple can be found by multiplying the highest exponent prime factors of 8944 and 8950. First we will calculate the prime factors of 8944 and 8950.

Prime Factorization of 8944


2 8944
2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 8944 are 2, 13,43. Prime factorization of 8944 in exponential form is:

8944 = 24×131×431

Prime Factorization of 8950


2 8950
5 4475
5 895
179 179
1

Prime factors of 8950 are 2, 5,179. Prime factorization of 8950 in exponential form is:

8950 = 21×52×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 8944 and 8950.

LCM(8944,8950) = 24×52×131×431×1791
LCM(8944,8950) = 40024400

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944

Factors of 8950

List of positive integer factors of 8950 that divides 8950 without a remainder.

1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950

Least Common Multiple of 8944 and 8950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8944 and 8950, than apply into the LCM equation.

GCF(8944,8950) = 2
LCM(8944,8950) = ( 8944 × 8950) / 2
LCM(8944,8950) = 80048800 / 2
LCM(8944,8950) = 40024400

Properties of LCM 8944 and 8950

(i) The LCM of 8950 and 8944 is associative

LCM of 8944 and 8950 = LCM of 8950 and 8944

Related Least Common Multiples of 8944

Related Least Common Multiples of 8950

Frequently Asked Questions on LCM of 8944 and 8950

1. What is the LCM of 8944 and 8950?

Answer: LCM of 8944 and 8950 is 40024400.

2. What are the Factors of 8944?

Answer: Factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944. There are 20 integers that are factors of 8944. The greatest factor of 8944 is 8944.

3. What are the Factors of 8950?

Answer: Factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950. There are 12 integers that are factors of 8950. The greatest factor of 8950 is 8950.

4. How to Find the LCM of 8944 and 8950?

Answer:

Least Common Multiple of 8944 and 8950 = 40024400

Step 1: Find the prime factorization of 8944

8944 = 2 x 2 x 2 x 2 x 13 x 43

Step 2: Find the prime factorization of 8950

8950 = 2 x 5 x 5 x 179

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

LCM = 40024400 = 2 x 2 x 2 x 2 x 5 x 5 x 13 x 43 x 179

Step 4: Therefore, the least common multiple of 8944 and 8950 is 40024400.