Least Common Multiple of 921 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 921 and 928 the smallest integer that is 854688 that is divisible by both numbers.

Least Common Multiple (LCM) of 921 and 928 is 854688.

LCM(921,928) = 854688

LCM of 921 and 928

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

LCM of:
and

Least Common Multiple of 921 and 928

LCM of 921 and 928 is 854688

Least common multiple can be found by multiplying the highest exponent prime factors of 921 and 928. First we will calculate the prime factors of 921 and 928.

Prime Factorization of 921


3 921
307 307
1

Prime factors of 921 are 3,307. Prime factorization of 921 in exponential form is:

921 = 31×3071

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 921 and 928.

LCM(921,928) = 25×31×291×3071
LCM(921,928) = 854688

Factors of 921

List of positive integer factors of 921 that divides 921 without a remainder.

1, 3, 307, 921

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 921 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 921 and 928, than apply into the LCM equation.

GCF(921,928) = 1
LCM(921,928) = ( 921 × 928) / 1
LCM(921,928) = 854688 / 1
LCM(921,928) = 854688

Properties of LCM 921 and 928

(i) The LCM of 928 and 921 is associative

LCM of 921 and 928 = LCM of 928 and 921

Related Least Common Multiples of 921

Related Least Common Multiples of 928

Frequently Asked Questions on LCM of 921 and 928

1. What is the LCM of 921 and 928?

Answer: LCM of 921 and 928 is 854688.

2. What are the Factors of 921?

Answer: Factors of 921 are 1, 3, 307, 921. There are 4 integers that are factors of 921. The greatest factor of 921 is 921.

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 921 and 928?

Answer:

Least Common Multiple of 921 and 928 = 854688

Step 1: Find the prime factorization of 921

921 = 3 x 307

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 = 854688 = 2 x 2 x 2 x 2 x 2 x 3 x 29 x 307

Step 4: Therefore, the least common multiple of 921 and 928 is 854688.