Least Common Multiple of 916 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 916 and 923 the smallest integer that is 845468 that is divisible by both numbers.

Least Common Multiple (LCM) of 916 and 923 is 845468.

LCM(916,923) = 845468

LCM of 916 and 923

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

LCM of:
and

Least Common Multiple of 916 and 923

LCM of 916 and 923 is 845468

Least common multiple can be found by multiplying the highest exponent prime factors of 916 and 923. First we will calculate the prime factors of 916 and 923.

Prime Factorization of 916


2 916
2 458
229 229
1

Prime factors of 916 are 2,229. Prime factorization of 916 in exponential form is:

916 = 22×2291

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 916 and 923.

LCM(916,923) = 22×131×711×2291
LCM(916,923) = 845468

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Factors of 923

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

1, 13, 71, 923

Least Common Multiple of 916 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 916 and 923, than apply into the LCM equation.

GCF(916,923) = 1
LCM(916,923) = ( 916 × 923) / 1
LCM(916,923) = 845468 / 1
LCM(916,923) = 845468

Properties of LCM 916 and 923

(i) The LCM of 923 and 916 is associative

LCM of 916 and 923 = LCM of 923 and 916

Related Least Common Multiples of 916

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 916 and 923

1. What is the LCM of 916 and 923?

Answer: LCM of 916 and 923 is 845468.

2. What are the Factors of 916?

Answer: Factors of 916 are 1, 2, 4, 229, 458, 916. There are 6 integers that are factors of 916. The greatest factor of 916 is 916.

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 916 and 923?

Answer:

Least Common Multiple of 916 and 923 = 845468

Step 1: Find the prime factorization of 916

916 = 2 x 2 x 229

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 = 845468 = 2 x 2 x 13 x 71 x 229

Step 4: Therefore, the least common multiple of 916 and 923 is 845468.