Least Common Multiple of 922 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 922 and 928 the smallest integer that is 427808 that is divisible by both numbers.

Least Common Multiple (LCM) of 922 and 928 is 427808.

LCM(922,928) = 427808

LCM of 922 and 928

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

LCM of:
and

Least Common Multiple of 922 and 928

LCM of 922 and 928 is 427808

Least common multiple can be found by multiplying the highest exponent prime factors of 922 and 928. First we will calculate the prime factors of 922 and 928.

Prime Factorization of 922


2 922
461 461
1

Prime factors of 922 are 2,461. Prime factorization of 922 in exponential form is:

922 = 21×4611

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 922 and 928.

LCM(922,928) = 25×291×4611
LCM(922,928) = 427808

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1, 2, 461, 922

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 922 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 922 and 928, than apply into the LCM equation.

GCF(922,928) = 2
LCM(922,928) = ( 922 × 928) / 2
LCM(922,928) = 855616 / 2
LCM(922,928) = 427808

Properties of LCM 922 and 928

(i) The LCM of 928 and 922 is associative

LCM of 922 and 928 = LCM of 928 and 922

Related Least Common Multiples of 922

Related Least Common Multiples of 928

Frequently Asked Questions on LCM of 922 and 928

1. What is the LCM of 922 and 928?

Answer: LCM of 922 and 928 is 427808.

2. What are the Factors of 922?

Answer: Factors of 922 are 1, 2, 461, 922. There are 4 integers that are factors of 922. The greatest factor of 922 is 922.

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 922 and 928?

Answer:

Least Common Multiple of 922 and 928 = 427808

Step 1: Find the prime factorization of 922

922 = 2 x 461

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 = 427808 = 2 x 2 x 2 x 2 x 2 x 29 x 461

Step 4: Therefore, the least common multiple of 922 and 928 is 427808.