Least Common Multiple of 918 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 918 and 923 the smallest integer that is 847314 that is divisible by both numbers.

Least Common Multiple (LCM) of 918 and 923 is 847314.

LCM(918,923) = 847314

LCM of 918 and 923

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

LCM of:
and

Least Common Multiple of 918 and 923

LCM of 918 and 923 is 847314

Least common multiple can be found by multiplying the highest exponent prime factors of 918 and 923. First we will calculate the prime factors of 918 and 923.

Prime Factorization of 918


2 918
3 459
3 153
3 51
17 17
1

Prime factors of 918 are 2, 3,17. Prime factorization of 918 in exponential form is:

918 = 21×33×171

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 918 and 923.

LCM(918,923) = 21×33×131×171×711
LCM(918,923) = 847314

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Factors of 923

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

1, 13, 71, 923

Least Common Multiple of 918 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 918 and 923, than apply into the LCM equation.

GCF(918,923) = 1
LCM(918,923) = ( 918 × 923) / 1
LCM(918,923) = 847314 / 1
LCM(918,923) = 847314

Properties of LCM 918 and 923

(i) The LCM of 923 and 918 is associative

LCM of 918 and 923 = LCM of 923 and 918

Related Least Common Multiples of 918

Related Least Common Multiples of 923

Frequently Asked Questions on LCM of 918 and 923

1. What is the LCM of 918 and 923?

Answer: LCM of 918 and 923 is 847314.

2. What are the Factors of 918?

Answer: Factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918. There are 16 integers that are factors of 918. The greatest factor of 918 is 918.

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 918 and 923?

Answer:

Least Common Multiple of 918 and 923 = 847314

Step 1: Find the prime factorization of 918

918 = 2 x 3 x 3 x 3 x 17

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 = 847314 = 2 x 3 x 3 x 3 x 13 x 17 x 71

Step 4: Therefore, the least common multiple of 918 and 923 is 847314.