Least Common Multiple of 6913 and 6918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6913 and 6918 the smallest integer that is 47824134 that is divisible by both numbers.

Least Common Multiple (LCM) of 6913 and 6918 is 47824134.

LCM(6913,6918) = 47824134

LCM of 6913 and 6918

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

LCM of:
and

Least Common Multiple of 6913 and 6918

LCM of 6913 and 6918 is 47824134

Least common multiple can be found by multiplying the highest exponent prime factors of 6913 and 6918. First we will calculate the prime factors of 6913 and 6918.

Prime Factorization of 6913


31 6913
223 223
1

Prime factors of 6913 are 31,223. Prime factorization of 6913 in exponential form is:

6913 = 311×2231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6913 and 6918.

LCM(6913,6918) = 21×31×311×2231×11531
LCM(6913,6918) = 47824134

Factors of 6913

List of positive integer factors of 6913 that divides 6913 without a remainder.

1, 31, 223, 6913

Factors of 6918

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

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

Least Common Multiple of 6913 and 6918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6913 and 6918, than apply into the LCM equation.

GCF(6913,6918) = 1
LCM(6913,6918) = ( 6913 × 6918) / 1
LCM(6913,6918) = 47824134 / 1
LCM(6913,6918) = 47824134

Properties of LCM 6913 and 6918

(i) The LCM of 6918 and 6913 is associative

LCM of 6913 and 6918 = LCM of 6918 and 6913

Related Least Common Multiples of 6913

Related Least Common Multiples of 6918

Frequently Asked Questions on LCM of 6913 and 6918

1. What is the LCM of 6913 and 6918?

Answer: LCM of 6913 and 6918 is 47824134.

2. What are the Factors of 6913?

Answer: Factors of 6913 are 1, 31, 223, 6913. There are 4 integers that are factors of 6913. The greatest factor of 6913 is 6913.

3. 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.

4. How to Find the LCM of 6913 and 6918?

Answer:

Least Common Multiple of 6913 and 6918 = 47824134

Step 1: Find the prime factorization of 6913

6913 = 31 x 223

Step 2: Find the prime factorization of 6918

6918 = 2 x 3 x 1153

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

LCM = 47824134 = 2 x 3 x 31 x 223 x 1153

Step 4: Therefore, the least common multiple of 6913 and 6918 is 47824134.