Least Common Multiple of 928 and 936

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 928 and 936 the smallest integer that is 108576 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 936 is 108576.

LCM(928,936) = 108576

LCM of 928 and 936

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

LCM of:
and

Least Common Multiple of 928 and 936

LCM of 928 and 936 is 108576

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 936. First we will calculate the prime factors of 928 and 936.

Prime Factorization of 928


2 928
2 464
2 232
2 116
2 58
29 29
1

Prime factors of 928 are 2,29. Prime factorization of 928 in exponential form is:

928 = 25×291

Prime Factorization of 936


2 936
2 468
2 234
3 117
3 39
13 13
1

Prime factors of 936 are 2, 3,13. Prime factorization of 936 in exponential form is:

936 = 23×32×131

Now multiplying the highest exponent prime factors to calculate the LCM of 928 and 936.

LCM(928,936) = 25×32×131×291
LCM(928,936) = 108576

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Least Common Multiple of 928 and 936 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 928 and 936, than apply into the LCM equation.

GCF(928,936) = 8
LCM(928,936) = ( 928 × 936) / 8
LCM(928,936) = 868608 / 8
LCM(928,936) = 108576

Properties of LCM 928 and 936

(i) The LCM of 936 and 928 is associative

LCM of 928 and 936 = LCM of 936 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 936

Frequently Asked Questions on LCM of 928 and 936

1. What is the LCM of 928 and 936?

Answer: LCM of 928 and 936 is 108576.

2. What are the Factors of 928?

Answer: Factors of 928 are 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928. There are 12 integers that are factors of 928. The greatest factor of 928 is 928.

3. What are the Factors of 936?

Answer: Factors of 936 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936. There are 24 integers that are factors of 936. The greatest factor of 936 is 936.

4. How to Find the LCM of 928 and 936?

Answer:

Least Common Multiple of 928 and 936 = 108576

Step 1: Find the prime factorization of 928

928 = 2 x 2 x 2 x 2 x 2 x 29

Step 2: Find the prime factorization of 936

936 = 2 x 2 x 2 x 3 x 3 x 13

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

LCM = 108576 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 13 x 29

Step 4: Therefore, the least common multiple of 928 and 936 is 108576.