Least Common Multiple of 8938 and 8944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8938 and 8944 the smallest integer that is 39970736 that is divisible by both numbers.

Least Common Multiple (LCM) of 8938 and 8944 is 39970736.

LCM(8938,8944) = 39970736

LCM of 8938 and 8944

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

LCM of:
and

Least Common Multiple of 8938 and 8944

LCM of 8938 and 8944 is 39970736

Least common multiple can be found by multiplying the highest exponent prime factors of 8938 and 8944. First we will calculate the prime factors of 8938 and 8944.

Prime Factorization of 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2, 41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8938 and 8944.

LCM(8938,8944) = 24×131×411×431×1091
LCM(8938,8944) = 39970736

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1, 2, 41, 82, 109, 218, 4469, 8938

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

Least Common Multiple of 8938 and 8944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8938 and 8944, than apply into the LCM equation.

GCF(8938,8944) = 2
LCM(8938,8944) = ( 8938 × 8944) / 2
LCM(8938,8944) = 79941472 / 2
LCM(8938,8944) = 39970736

Properties of LCM 8938 and 8944

(i) The LCM of 8944 and 8938 is associative

LCM of 8938 and 8944 = LCM of 8944 and 8938

Related Least Common Multiples of 8938

Related Least Common Multiples of 8944

Frequently Asked Questions on LCM of 8938 and 8944

1. What is the LCM of 8938 and 8944?

Answer: LCM of 8938 and 8944 is 39970736.

2. What are the Factors of 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

3. 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.

4. How to Find the LCM of 8938 and 8944?

Answer:

Least Common Multiple of 8938 and 8944 = 39970736

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8944

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

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

LCM = 39970736 = 2 x 2 x 2 x 2 x 13 x 41 x 43 x 109

Step 4: Therefore, the least common multiple of 8938 and 8944 is 39970736.