Least Common Multiple of 924 and 928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 924 and 928 the smallest integer that is 214368 that is divisible by both numbers.

Least Common Multiple (LCM) of 924 and 928 is 214368.

LCM(924,928) = 214368

LCM of 924 and 928

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

LCM of:
and

Least Common Multiple of 924 and 928

LCM of 924 and 928 is 214368

Least common multiple can be found by multiplying the highest exponent prime factors of 924 and 928. First we will calculate the prime factors of 924 and 928.

Prime Factorization of 924


2 924
2 462
3 231
7 77
11 11
1

Prime factors of 924 are 2, 3, 7,11. Prime factorization of 924 in exponential form is:

924 = 22×31×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 924 and 928.

LCM(924,928) = 25×31×71×111×291
LCM(924,928) = 214368

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

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

Least Common Multiple of 924 and 928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 924 and 928, than apply into the LCM equation.

GCF(924,928) = 4
LCM(924,928) = ( 924 × 928) / 4
LCM(924,928) = 857472 / 4
LCM(924,928) = 214368

Properties of LCM 924 and 928

(i) The LCM of 928 and 924 is associative

LCM of 924 and 928 = LCM of 928 and 924

Related Least Common Multiples of 924

Related Least Common Multiples of 928

Frequently Asked Questions on LCM of 924 and 928

1. What is the LCM of 924 and 928?

Answer: LCM of 924 and 928 is 214368.

2. What are the Factors of 924?

Answer: Factors of 924 are 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924. There are 24 integers that are factors of 924. The greatest factor of 924 is 924.

3. 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.

4. How to Find the LCM of 924 and 928?

Answer:

Least Common Multiple of 924 and 928 = 214368

Step 1: Find the prime factorization of 924

924 = 2 x 2 x 3 x 7 x 11

Step 2: Find the prime factorization of 928

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

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

LCM = 214368 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 29

Step 4: Therefore, the least common multiple of 924 and 928 is 214368.