Least Common Multiple of 6918 and 6923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6918 and 6923 the smallest integer that is 47893314 that is divisible by both numbers.

Least Common Multiple (LCM) of 6918 and 6923 is 47893314.

LCM(6918,6923) = 47893314

LCM of 6918 and 6923

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

LCM of:
and

Least Common Multiple of 6918 and 6923

LCM of 6918 and 6923 is 47893314

Least common multiple can be found by multiplying the highest exponent prime factors of 6918 and 6923. First we will calculate the prime factors of 6918 and 6923.

Prime Factorization of 6918


2 6918
3 3459
1153 1153
1

Prime factors of 6918 are 2, 3,1153. Prime factorization of 6918 in exponential form is:

6918 = 21×31×11531

Prime Factorization of 6923


7 6923
23 989
43 43
1

Prime factors of 6923 are 7, 23,43. Prime factorization of 6923 in exponential form is:

6923 = 71×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 6918 and 6923.

LCM(6918,6923) = 21×31×71×231×431×11531
LCM(6918,6923) = 47893314

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1, 2, 3, 6, 1153, 2306, 3459, 6918

Factors of 6923

List of positive integer factors of 6923 that divides 6923 without a remainder.

1, 7, 23, 43, 161, 301, 989, 6923

Least Common Multiple of 6918 and 6923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6918 and 6923, than apply into the LCM equation.

GCF(6918,6923) = 1
LCM(6918,6923) = ( 6918 × 6923) / 1
LCM(6918,6923) = 47893314 / 1
LCM(6918,6923) = 47893314

Properties of LCM 6918 and 6923

(i) The LCM of 6923 and 6918 is associative

LCM of 6918 and 6923 = LCM of 6923 and 6918

Related Least Common Multiples of 6918

Related Least Common Multiples of 6923

Frequently Asked Questions on LCM of 6918 and 6923

1. What is the LCM of 6918 and 6923?

Answer: LCM of 6918 and 6923 is 47893314.

2. What are the Factors of 6918?

Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.

3. What are the Factors of 6923?

Answer: Factors of 6923 are 1, 7, 23, 43, 161, 301, 989, 6923. There are 8 integers that are factors of 6923. The greatest factor of 6923 is 6923.

4. How to Find the LCM of 6918 and 6923?

Answer:

Least Common Multiple of 6918 and 6923 = 47893314

Step 1: Find the prime factorization of 6918

6918 = 2 x 3 x 1153

Step 2: Find the prime factorization of 6923

6923 = 7 x 23 x 43

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

LCM = 47893314 = 2 x 3 x 7 x 23 x 43 x 1153

Step 4: Therefore, the least common multiple of 6918 and 6923 is 47893314.