Least Common Multiple of 6947 and 6951

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6947 and 6951 the smallest integer that is 48288597 that is divisible by both numbers.

Least Common Multiple (LCM) of 6947 and 6951 is 48288597.

LCM(6947,6951) = 48288597

LCM of 6947 and 6951

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

LCM of:
and

Least Common Multiple of 6947 and 6951

LCM of 6947 and 6951 is 48288597

Least common multiple can be found by multiplying the highest exponent prime factors of 6947 and 6951. First we will calculate the prime factors of 6947 and 6951.

Prime Factorization of 6947


6947 6947
1

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

6947 = 69471

Prime Factorization of 6951


3 6951
7 2317
331 331
1

Prime factors of 6951 are 3, 7,331. Prime factorization of 6951 in exponential form is:

6951 = 31×71×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 6947 and 6951.

LCM(6947,6951) = 31×71×3311×69471
LCM(6947,6951) = 48288597

Factors of 6947

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

1, 6947

Factors of 6951

List of positive integer factors of 6951 that divides 6951 without a remainder.

1, 3, 7, 21, 331, 993, 2317, 6951

Least Common Multiple of 6947 and 6951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6947 and 6951, than apply into the LCM equation.

GCF(6947,6951) = 1
LCM(6947,6951) = ( 6947 × 6951) / 1
LCM(6947,6951) = 48288597 / 1
LCM(6947,6951) = 48288597

Properties of LCM 6947 and 6951

(i) The LCM of 6951 and 6947 is associative

LCM of 6947 and 6951 = LCM of 6951 and 6947

Related Least Common Multiples of 6947

Related Least Common Multiples of 6951

Frequently Asked Questions on LCM of 6947 and 6951

1. What is the LCM of 6947 and 6951?

Answer: LCM of 6947 and 6951 is 48288597.

2. 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.

3. What are the Factors of 6951?

Answer: Factors of 6951 are 1, 3, 7, 21, 331, 993, 2317, 6951. There are 8 integers that are factors of 6951. The greatest factor of 6951 is 6951.

4. How to Find the LCM of 6947 and 6951?

Answer:

Least Common Multiple of 6947 and 6951 = 48288597

Step 1: Find the prime factorization of 6947

6947 = 6947

Step 2: Find the prime factorization of 6951

6951 = 3 x 7 x 331

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

LCM = 48288597 = 3 x 7 x 331 x 6947

Step 4: Therefore, the least common multiple of 6947 and 6951 is 48288597.