Least Common Multiple of 928 and 932

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 932 the smallest integer that is 216224 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 932 is 216224.

LCM(928,932) = 216224

LCM of 928 and 932

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

LCM of:
and

Least Common Multiple of 928 and 932

LCM of 928 and 932 is 216224

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 932. First we will calculate the prime factors of 928 and 932.

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 932


2 932
2 466
233 233
1

Prime factors of 932 are 2,233. Prime factorization of 932 in exponential form is:

932 = 22×2331

Now multiplying the highest exponent prime factors to calculate the LCM of 928 and 932.

LCM(928,932) = 25×291×2331
LCM(928,932) = 216224

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 932

List of positive integer factors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Least Common Multiple of 928 and 932 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 932, than apply into the LCM equation.

GCF(928,932) = 4
LCM(928,932) = ( 928 × 932) / 4
LCM(928,932) = 864896 / 4
LCM(928,932) = 216224

Properties of LCM 928 and 932

(i) The LCM of 932 and 928 is associative

LCM of 928 and 932 = LCM of 932 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 932

Frequently Asked Questions on LCM of 928 and 932

1. What is the LCM of 928 and 932?

Answer: LCM of 928 and 932 is 216224.

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 932?

Answer: Factors of 932 are 1, 2, 4, 233, 466, 932. There are 6 integers that are factors of 932. The greatest factor of 932 is 932.

4. How to Find the LCM of 928 and 932?

Answer:

Least Common Multiple of 928 and 932 = 216224

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 932

932 = 2 x 2 x 233

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

LCM = 216224 = 2 x 2 x 2 x 2 x 2 x 29 x 233

Step 4: Therefore, the least common multiple of 928 and 932 is 216224.