Least Common Multiple of 7941 and 7947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7941 and 7947 the smallest integer that is 21035709 that is divisible by both numbers.

Least Common Multiple (LCM) of 7941 and 7947 is 21035709.

LCM(7941,7947) = 21035709

LCM of 7941 and 7947

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

LCM of:
and

Least Common Multiple of 7941 and 7947

LCM of 7941 and 7947 is 21035709

Least common multiple can be found by multiplying the highest exponent prime factors of 7941 and 7947. First we will calculate the prime factors of 7941 and 7947.

Prime Factorization of 7941


3 7941
2647 2647
1

Prime factors of 7941 are 3,2647. Prime factorization of 7941 in exponential form is:

7941 = 31×26471

Prime Factorization of 7947


3 7947
3 2649
883 883
1

Prime factors of 7947 are 3,883. Prime factorization of 7947 in exponential form is:

7947 = 32×8831

Now multiplying the highest exponent prime factors to calculate the LCM of 7941 and 7947.

LCM(7941,7947) = 32×8831×26471
LCM(7941,7947) = 21035709

Factors of 7941

List of positive integer factors of 7941 that divides 7941 without a remainder.

1, 3, 2647, 7941

Factors of 7947

List of positive integer factors of 7947 that divides 7947 without a remainder.

1, 3, 9, 883, 2649, 7947

Least Common Multiple of 7941 and 7947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7941 and 7947, than apply into the LCM equation.

GCF(7941,7947) = 3
LCM(7941,7947) = ( 7941 × 7947) / 3
LCM(7941,7947) = 63107127 / 3
LCM(7941,7947) = 21035709

Properties of LCM 7941 and 7947

(i) The LCM of 7947 and 7941 is associative

LCM of 7941 and 7947 = LCM of 7947 and 7941

Related Least Common Multiples of 7941

Related Least Common Multiples of 7947

Frequently Asked Questions on LCM of 7941 and 7947

1. What is the LCM of 7941 and 7947?

Answer: LCM of 7941 and 7947 is 21035709.

2. What are the Factors of 7941?

Answer: Factors of 7941 are 1, 3, 2647, 7941. There are 4 integers that are factors of 7941. The greatest factor of 7941 is 7941.

3. What are the Factors of 7947?

Answer: Factors of 7947 are 1, 3, 9, 883, 2649, 7947. There are 6 integers that are factors of 7947. The greatest factor of 7947 is 7947.

4. How to Find the LCM of 7941 and 7947?

Answer:

Least Common Multiple of 7941 and 7947 = 21035709

Step 1: Find the prime factorization of 7941

7941 = 3 x 2647

Step 2: Find the prime factorization of 7947

7947 = 3 x 3 x 883

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

LCM = 21035709 = 3 x 3 x 883 x 2647

Step 4: Therefore, the least common multiple of 7941 and 7947 is 21035709.