Least Common Multiple of 6906 and 6913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6906 and 6913 the smallest integer that is 47741178 that is divisible by both numbers.

Least Common Multiple (LCM) of 6906 and 6913 is 47741178.

LCM(6906,6913) = 47741178

LCM of 6906 and 6913

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

LCM of:
and

Least Common Multiple of 6906 and 6913

LCM of 6906 and 6913 is 47741178

Least common multiple can be found by multiplying the highest exponent prime factors of 6906 and 6913. First we will calculate the prime factors of 6906 and 6913.

Prime Factorization of 6906


2 6906
3 3453
1151 1151
1

Prime factors of 6906 are 2, 3,1151. Prime factorization of 6906 in exponential form is:

6906 = 21×31×11511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6906 and 6913.

LCM(6906,6913) = 21×31×311×2231×11511
LCM(6906,6913) = 47741178

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1, 2, 3, 6, 1151, 2302, 3453, 6906

Factors of 6913

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

1, 31, 223, 6913

Least Common Multiple of 6906 and 6913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6906 and 6913, than apply into the LCM equation.

GCF(6906,6913) = 1
LCM(6906,6913) = ( 6906 × 6913) / 1
LCM(6906,6913) = 47741178 / 1
LCM(6906,6913) = 47741178

Properties of LCM 6906 and 6913

(i) The LCM of 6913 and 6906 is associative

LCM of 6906 and 6913 = LCM of 6913 and 6906

Related Least Common Multiples of 6906

Related Least Common Multiples of 6913

Frequently Asked Questions on LCM of 6906 and 6913

1. What is the LCM of 6906 and 6913?

Answer: LCM of 6906 and 6913 is 47741178.

2. What are the Factors of 6906?

Answer: Factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906. There are 8 integers that are factors of 6906. The greatest factor of 6906 is 6906.

3. 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.

4. How to Find the LCM of 6906 and 6913?

Answer:

Least Common Multiple of 6906 and 6913 = 47741178

Step 1: Find the prime factorization of 6906

6906 = 2 x 3 x 1151

Step 2: Find the prime factorization of 6913

6913 = 31 x 223

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

LCM = 47741178 = 2 x 3 x 31 x 223 x 1151

Step 4: Therefore, the least common multiple of 6906 and 6913 is 47741178.