Least Common Multiple of 927 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 927 and 928 the smallest integer that is 860256 that is divisible by both numbers.

Least Common Multiple (LCM) of 927 and 928 is 860256.

LCM(927,928) = 860256

LCM of 927 and 928

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

LCM of:
and

Least Common Multiple of 927 and 928

LCM of 927 and 928 is 860256

Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 928. First we will calculate the prime factors of 927 and 928.

Prime Factorization of 927


3 927
3 309
103 103
1

Prime factors of 927 are 3,103. Prime factorization of 927 in exponential form is:

927 = 32×1031

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 927 and 928.

LCM(927,928) = 25×32×291×1031
LCM(927,928) = 860256

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

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 927 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 927 and 928, than apply into the LCM equation.

GCF(927,928) = 1
LCM(927,928) = ( 927 × 928) / 1
LCM(927,928) = 860256 / 1
LCM(927,928) = 860256

Properties of LCM 927 and 928

(i) The LCM of 928 and 927 is associative

LCM of 927 and 928 = LCM of 928 and 927

Related Least Common Multiples of 927

Related Least Common Multiples of 928

Frequently Asked Questions on LCM of 927 and 928

1. What is the LCM of 927 and 928?

Answer: LCM of 927 and 928 is 860256.

2. What are the Factors of 927?

Answer: Factors of 927 are 1, 3, 9, 103, 309, 927. There are 6 integers that are factors of 927. The greatest factor of 927 is 927.

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 927 and 928?

Answer:

Least Common Multiple of 927 and 928 = 860256

Step 1: Find the prime factorization of 927

927 = 3 x 3 x 103

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 = 860256 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 29 x 103

Step 4: Therefore, the least common multiple of 927 and 928 is 860256.