Least Common Multiple of 8918 and 8923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8918 and 8923 the smallest integer that is 79575314 that is divisible by both numbers.

Least Common Multiple (LCM) of 8918 and 8923 is 79575314.

LCM(8918,8923) = 79575314

LCM of 8918 and 8923

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

LCM of:
and

Least Common Multiple of 8918 and 8923

LCM of 8918 and 8923 is 79575314

Least common multiple can be found by multiplying the highest exponent prime factors of 8918 and 8923. First we will calculate the prime factors of 8918 and 8923.

Prime Factorization of 8918


2 8918
7 4459
7 637
7 91
13 13
1

Prime factors of 8918 are 2, 7,13. Prime factorization of 8918 in exponential form is:

8918 = 21×73×131

Prime Factorization of 8923


8923 8923
1

Prime factors of 8923 are 8923. Prime factorization of 8923 in exponential form is:

8923 = 89231

Now multiplying the highest exponent prime factors to calculate the LCM of 8918 and 8923.

LCM(8918,8923) = 21×73×131×89231
LCM(8918,8923) = 79575314

Factors of 8918

List of positive integer factors of 8918 that divides 8918 without a remainder.

1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918

Factors of 8923

List of positive integer factors of 8923 that divides 8923 without a remainder.

1, 8923

Least Common Multiple of 8918 and 8923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8918 and 8923, than apply into the LCM equation.

GCF(8918,8923) = 1
LCM(8918,8923) = ( 8918 × 8923) / 1
LCM(8918,8923) = 79575314 / 1
LCM(8918,8923) = 79575314

Properties of LCM 8918 and 8923

(i) The LCM of 8923 and 8918 is associative

LCM of 8918 and 8923 = LCM of 8923 and 8918

Related Least Common Multiples of 8918

Related Least Common Multiples of 8923

Frequently Asked Questions on LCM of 8918 and 8923

1. What is the LCM of 8918 and 8923?

Answer: LCM of 8918 and 8923 is 79575314.

2. What are the Factors of 8918?

Answer: Factors of 8918 are 1, 2, 7, 13, 14, 26, 49, 91, 98, 182, 343, 637, 686, 1274, 4459, 8918. There are 16 integers that are factors of 8918. The greatest factor of 8918 is 8918.

3. What are the Factors of 8923?

Answer: Factors of 8923 are 1, 8923. There are 2 integers that are factors of 8923. The greatest factor of 8923 is 8923.

4. How to Find the LCM of 8918 and 8923?

Answer:

Least Common Multiple of 8918 and 8923 = 79575314

Step 1: Find the prime factorization of 8918

8918 = 2 x 7 x 7 x 7 x 13

Step 2: Find the prime factorization of 8923

8923 = 8923

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

LCM = 79575314 = 2 x 7 x 7 x 7 x 13 x 8923

Step 4: Therefore, the least common multiple of 8918 and 8923 is 79575314.