Least Common Multiple of 6941 and 6947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6941 and 6947 the smallest integer that is 48219127 that is divisible by both numbers.

Least Common Multiple (LCM) of 6941 and 6947 is 48219127.

LCM(6941,6947) = 48219127

LCM of 6941 and 6947

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

LCM of:
and

Least Common Multiple of 6941 and 6947

LCM of 6941 and 6947 is 48219127

Least common multiple can be found by multiplying the highest exponent prime factors of 6941 and 6947. First we will calculate the prime factors of 6941 and 6947.

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Prime Factorization of 6947


6947 6947
1

Prime factors of 6947 are 6947. Prime factorization of 6947 in exponential form is:

6947 = 69471

Now multiplying the highest exponent prime factors to calculate the LCM of 6941 and 6947.

LCM(6941,6947) = 111×6311×69471
LCM(6941,6947) = 48219127

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1, 11, 631, 6941

Factors of 6947

List of positive integer factors of 6947 that divides 6947 without a remainder.

1, 6947

Least Common Multiple of 6941 and 6947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6941 and 6947, than apply into the LCM equation.

GCF(6941,6947) = 1
LCM(6941,6947) = ( 6941 × 6947) / 1
LCM(6941,6947) = 48219127 / 1
LCM(6941,6947) = 48219127

Properties of LCM 6941 and 6947

(i) The LCM of 6947 and 6941 is associative

LCM of 6941 and 6947 = LCM of 6947 and 6941

Related Least Common Multiples of 6941

Related Least Common Multiples of 6947

Frequently Asked Questions on LCM of 6941 and 6947

1. What is the LCM of 6941 and 6947?

Answer: LCM of 6941 and 6947 is 48219127.

2. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

3. What are the Factors of 6947?

Answer: Factors of 6947 are 1, 6947. There are 2 integers that are factors of 6947. The greatest factor of 6947 is 6947.

4. How to Find the LCM of 6941 and 6947?

Answer:

Least Common Multiple of 6941 and 6947 = 48219127

Step 1: Find the prime factorization of 6941

6941 = 11 x 631

Step 2: Find the prime factorization of 6947

6947 = 6947

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

LCM = 48219127 = 11 x 631 x 6947

Step 4: Therefore, the least common multiple of 6941 and 6947 is 48219127.