Least Common Multiple of 8944 and 8948

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 8948 the smallest integer that is 20007728 that is divisible by both numbers.

Least Common Multiple (LCM) of 8944 and 8948 is 20007728.

LCM(8944,8948) = 20007728

LCM of 8944 and 8948

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

LCM of:
and

Least Common Multiple of 8944 and 8948

LCM of 8944 and 8948 is 20007728

Least common multiple can be found by multiplying the highest exponent prime factors of 8944 and 8948. First we will calculate the prime factors of 8944 and 8948.

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 8948


2 8948
2 4474
2237 2237
1

Prime factors of 8948 are 2,2237. Prime factorization of 8948 in exponential form is:

8948 = 22×22371

Now multiplying the highest exponent prime factors to calculate the LCM of 8944 and 8948.

LCM(8944,8948) = 24×131×431×22371
LCM(8944,8948) = 20007728

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 8948

List of positive integer factors of 8948 that divides 8948 without a remainder.

1, 2, 4, 2237, 4474, 8948

Least Common Multiple of 8944 and 8948 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 8948, than apply into the LCM equation.

GCF(8944,8948) = 4
LCM(8944,8948) = ( 8944 × 8948) / 4
LCM(8944,8948) = 80030912 / 4
LCM(8944,8948) = 20007728

Properties of LCM 8944 and 8948

(i) The LCM of 8948 and 8944 is associative

LCM of 8944 and 8948 = LCM of 8948 and 8944

Related Least Common Multiples of 8944

Related Least Common Multiples of 8948

Frequently Asked Questions on LCM of 8944 and 8948

1. What is the LCM of 8944 and 8948?

Answer: LCM of 8944 and 8948 is 20007728.

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 8948?

Answer: Factors of 8948 are 1, 2, 4, 2237, 4474, 8948. There are 6 integers that are factors of 8948. The greatest factor of 8948 is 8948.

4. How to Find the LCM of 8944 and 8948?

Answer:

Least Common Multiple of 8944 and 8948 = 20007728

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 8948

8948 = 2 x 2 x 2237

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

LCM = 20007728 = 2 x 2 x 2 x 2 x 13 x 43 x 2237

Step 4: Therefore, the least common multiple of 8944 and 8948 is 20007728.