Least Common Multiple of 923 and 930

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 930 the smallest integer that is 858390 that is divisible by both numbers.

Least Common Multiple (LCM) of 923 and 930 is 858390.

LCM(923,930) = 858390

LCM of 923 and 930

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

LCM of:
and

Least Common Multiple of 923 and 930

LCM of 923 and 930 is 858390

Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 930. First we will calculate the prime factors of 923 and 930.

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 930


2 930
3 465
5 155
31 31
1

Prime factors of 930 are 2, 3, 5,31. Prime factorization of 930 in exponential form is:

930 = 21×31×51×311

Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 930.

LCM(923,930) = 21×31×51×131×311×711
LCM(923,930) = 858390

Factors of 923

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

1, 13, 71, 923

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Least Common Multiple of 923 and 930 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 930, than apply into the LCM equation.

GCF(923,930) = 1
LCM(923,930) = ( 923 × 930) / 1
LCM(923,930) = 858390 / 1
LCM(923,930) = 858390

Properties of LCM 923 and 930

(i) The LCM of 930 and 923 is associative

LCM of 923 and 930 = LCM of 930 and 923

Related Least Common Multiples of 923

Related Least Common Multiples of 930

Frequently Asked Questions on LCM of 923 and 930

1. What is the LCM of 923 and 930?

Answer: LCM of 923 and 930 is 858390.

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 930?

Answer: Factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930. There are 16 integers that are factors of 930. The greatest factor of 930 is 930.

4. How to Find the LCM of 923 and 930?

Answer:

Least Common Multiple of 923 and 930 = 858390

Step 1: Find the prime factorization of 923

923 = 13 x 71

Step 2: Find the prime factorization of 930

930 = 2 x 3 x 5 x 31

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

LCM = 858390 = 2 x 3 x 5 x 13 x 31 x 71

Step 4: Therefore, the least common multiple of 923 and 930 is 858390.