Least Common Multiple of 928 and 934

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 934 the smallest integer that is 433376 that is divisible by both numbers.

Least Common Multiple (LCM) of 928 and 934 is 433376.

LCM(928,934) = 433376

LCM of 928 and 934

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

LCM of:
and

Least Common Multiple of 928 and 934

LCM of 928 and 934 is 433376

Least common multiple can be found by multiplying the highest exponent prime factors of 928 and 934. First we will calculate the prime factors of 928 and 934.

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 934


2 934
467 467
1

Prime factors of 934 are 2,467. Prime factorization of 934 in exponential form is:

934 = 21×4671

Now multiplying the highest exponent prime factors to calculate the LCM of 928 and 934.

LCM(928,934) = 25×291×4671
LCM(928,934) = 433376

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 934

List of positive integer factors of 934 that divides 934 without a remainder.

1, 2, 467, 934

Least Common Multiple of 928 and 934 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 934, than apply into the LCM equation.

GCF(928,934) = 2
LCM(928,934) = ( 928 × 934) / 2
LCM(928,934) = 866752 / 2
LCM(928,934) = 433376

Properties of LCM 928 and 934

(i) The LCM of 934 and 928 is associative

LCM of 928 and 934 = LCM of 934 and 928

Related Least Common Multiples of 928

Related Least Common Multiples of 934

Frequently Asked Questions on LCM of 928 and 934

1. What is the LCM of 928 and 934?

Answer: LCM of 928 and 934 is 433376.

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 934?

Answer: Factors of 934 are 1, 2, 467, 934. There are 4 integers that are factors of 934. The greatest factor of 934 is 934.

4. How to Find the LCM of 928 and 934?

Answer:

Least Common Multiple of 928 and 934 = 433376

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 934

934 = 2 x 467

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

LCM = 433376 = 2 x 2 x 2 x 2 x 2 x 29 x 467

Step 4: Therefore, the least common multiple of 928 and 934 is 433376.