Least Common Multiple of 915 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 915 and 923 the smallest integer that is 844545 that is divisible by both numbers.

Least Common Multiple (LCM) of 915 and 923 is 844545.

LCM(915,923) = 844545

LCM of 915 and 923

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

LCM of:
and

Least Common Multiple of 915 and 923

LCM of 915 and 923 is 844545

Least common multiple can be found by multiplying the highest exponent prime factors of 915 and 923. First we will calculate the prime factors of 915 and 923.

Prime Factorization of 915


3 915
5 305
61 61
1

Prime factors of 915 are 3, 5,61. Prime factorization of 915 in exponential form is:

915 = 31×51×611

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 915 and 923.

LCM(915,923) = 31×51×131×611×711
LCM(915,923) = 844545

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Factors of 923

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

1, 13, 71, 923

Least Common Multiple of 915 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 915 and 923, than apply into the LCM equation.

GCF(915,923) = 1
LCM(915,923) = ( 915 × 923) / 1
LCM(915,923) = 844545 / 1
LCM(915,923) = 844545

Properties of LCM 915 and 923

(i) The LCM of 923 and 915 is associative

LCM of 915 and 923 = LCM of 923 and 915

Related Least Common Multiples of 915

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 915 and 923

1. What is the LCM of 915 and 923?

Answer: LCM of 915 and 923 is 844545.

2. What are the Factors of 915?

Answer: Factors of 915 are 1, 3, 5, 15, 61, 183, 305, 915. There are 8 integers that are factors of 915. The greatest factor of 915 is 915.

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 915 and 923?

Answer:

Least Common Multiple of 915 and 923 = 844545

Step 1: Find the prime factorization of 915

915 = 3 x 5 x 61

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 = 844545 = 3 x 5 x 13 x 61 x 71

Step 4: Therefore, the least common multiple of 915 and 923 is 844545.