Least Common Multiple of 923 and 927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 923 and 927 the smallest integer that is 855621 that is divisible by both numbers.

Least Common Multiple (LCM) of 923 and 927 is 855621.

LCM(923,927) = 855621

LCM of 923 and 927

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

LCM of:
and

Least Common Multiple of 923 and 927

LCM of 923 and 927 is 855621

Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 927. First we will calculate the prime factors of 923 and 927.

Prime Factorization of 923


13 923
71 71
1

Prime factors of 923 are 13,71. Prime factorization of 923 in exponential form is:

923 = 131×711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 927.

LCM(923,927) = 32×131×711×1031
LCM(923,927) = 855621

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Factors of 927

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

1, 3, 9, 103, 309, 927

Least Common Multiple of 923 and 927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 927, than apply into the LCM equation.

GCF(923,927) = 1
LCM(923,927) = ( 923 × 927) / 1
LCM(923,927) = 855621 / 1
LCM(923,927) = 855621

Properties of LCM 923 and 927

(i) The LCM of 927 and 923 is associative

LCM of 923 and 927 = LCM of 927 and 923

Related Least Common Multiples of 923

Related Least Common Multiples of 927

Frequently Asked Questions on LCM of 923 and 927

1. What is the LCM of 923 and 927?

Answer: LCM of 923 and 927 is 855621.

2. What are the Factors of 923?

Answer: Factors of 923 are 1, 13, 71, 923. There are 4 integers that are factors of 923. The greatest factor of 923 is 923.

3. 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.

4. How to Find the LCM of 923 and 927?

Answer:

Least Common Multiple of 923 and 927 = 855621

Step 1: Find the prime factorization of 923

923 = 13 x 71

Step 2: Find the prime factorization of 927

927 = 3 x 3 x 103

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

LCM = 855621 = 3 x 3 x 13 x 71 x 103

Step 4: Therefore, the least common multiple of 923 and 927 is 855621.