Least Common Multiple of 920 and 923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 920 and 923 the smallest integer that is 849160 that is divisible by both numbers.

Least Common Multiple (LCM) of 920 and 923 is 849160.

LCM(920,923) = 849160

LCM of 920 and 923

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

LCM of:
and

Least Common Multiple of 920 and 923

LCM of 920 and 923 is 849160

Least common multiple can be found by multiplying the highest exponent prime factors of 920 and 923. First we will calculate the prime factors of 920 and 923.

Prime Factorization of 920


2 920
2 460
2 230
5 115
23 23
1

Prime factors of 920 are 2, 5,23. Prime factorization of 920 in exponential form is:

920 = 23×51×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 920 and 923.

LCM(920,923) = 23×51×131×231×711
LCM(920,923) = 849160

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Factors of 923

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

1, 13, 71, 923

Least Common Multiple of 920 and 923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 920 and 923, than apply into the LCM equation.

GCF(920,923) = 1
LCM(920,923) = ( 920 × 923) / 1
LCM(920,923) = 849160 / 1
LCM(920,923) = 849160

Properties of LCM 920 and 923

(i) The LCM of 923 and 920 is associative

LCM of 920 and 923 = LCM of 923 and 920

Related Least Common Multiples of 920

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 920 and 923

1. What is the LCM of 920 and 923?

Answer: LCM of 920 and 923 is 849160.

2. What are the Factors of 920?

Answer: Factors of 920 are 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920. There are 16 integers that are factors of 920. The greatest factor of 920 is 920.

3. 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.

4. How to Find the LCM of 920 and 923?

Answer:

Least Common Multiple of 920 and 923 = 849160

Step 1: Find the prime factorization of 920

920 = 2 x 2 x 2 x 5 x 23

Step 2: Find the prime factorization of 923

923 = 13 x 71

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

LCM = 849160 = 2 x 2 x 2 x 5 x 13 x 23 x 71

Step 4: Therefore, the least common multiple of 920 and 923 is 849160.