Least Common Multiple of 927 and 933

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 933 the smallest integer that is 288297 that is divisible by both numbers.

Least Common Multiple (LCM) of 927 and 933 is 288297.

LCM(927,933) = 288297

LCM of 927 and 933

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

LCM of:
and

Least Common Multiple of 927 and 933

LCM of 927 and 933 is 288297

Least common multiple can be found by multiplying the highest exponent prime factors of 927 and 933. First we will calculate the prime factors of 927 and 933.

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 933


3 933
311 311
1

Prime factors of 933 are 3,311. Prime factorization of 933 in exponential form is:

933 = 31×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 927 and 933.

LCM(927,933) = 32×1031×3111
LCM(927,933) = 288297

Factors of 927

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

1, 3, 9, 103, 309, 927

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Least Common Multiple of 927 and 933 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 933, than apply into the LCM equation.

GCF(927,933) = 3
LCM(927,933) = ( 927 × 933) / 3
LCM(927,933) = 864891 / 3
LCM(927,933) = 288297

Properties of LCM 927 and 933

(i) The LCM of 933 and 927 is associative

LCM of 927 and 933 = LCM of 933 and 927

Related Least Common Multiples of 927

Related Least Common Multiples of 933

Frequently Asked Questions on LCM of 927 and 933

1. What is the LCM of 927 and 933?

Answer: LCM of 927 and 933 is 288297.

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 933?

Answer: Factors of 933 are 1, 3, 311, 933. There are 4 integers that are factors of 933. The greatest factor of 933 is 933.

4. How to Find the LCM of 927 and 933?

Answer:

Least Common Multiple of 927 and 933 = 288297

Step 1: Find the prime factorization of 927

927 = 3 x 3 x 103

Step 2: Find the prime factorization of 933

933 = 3 x 311

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

LCM = 288297 = 3 x 3 x 103 x 311

Step 4: Therefore, the least common multiple of 927 and 933 is 288297.