Least Common Multiple of 6943 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 6943 and 6951 the smallest integer that is 48260793 that is divisible by both numbers.

Least Common Multiple (LCM) of 6943 and 6951 is 48260793.

LCM(6943,6951) = 48260793

LCM of 6943 and 6951

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

LCM of:
and

Least Common Multiple of 6943 and 6951

LCM of 6943 and 6951 is 48260793

Least common multiple can be found by multiplying the highest exponent prime factors of 6943 and 6951. First we will calculate the prime factors of 6943 and 6951.

Prime Factorization of 6943


53 6943
131 131
1

Prime factors of 6943 are 53,131. Prime factorization of 6943 in exponential form is:

6943 = 531×1311

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 6943 and 6951.

LCM(6943,6951) = 31×71×531×1311×3311
LCM(6943,6951) = 48260793

Factors of 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1, 53, 131, 6943

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 6943 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 6943 and 6951, than apply into the LCM equation.

GCF(6943,6951) = 1
LCM(6943,6951) = ( 6943 × 6951) / 1
LCM(6943,6951) = 48260793 / 1
LCM(6943,6951) = 48260793

Properties of LCM 6943 and 6951

(i) The LCM of 6951 and 6943 is associative

LCM of 6943 and 6951 = LCM of 6951 and 6943

Related Least Common Multiples of 6943

Related Least Common Multiples of 6951

Frequently Asked Questions on LCM of 6943 and 6951

1. What is the LCM of 6943 and 6951?

Answer: LCM of 6943 and 6951 is 48260793.

2. What are the Factors of 6943?

Answer: Factors of 6943 are 1, 53, 131, 6943. There are 4 integers that are factors of 6943. The greatest factor of 6943 is 6943.

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 6943 and 6951?

Answer:

Least Common Multiple of 6943 and 6951 = 48260793

Step 1: Find the prime factorization of 6943

6943 = 53 x 131

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 = 48260793 = 3 x 7 x 53 x 131 x 331

Step 4: Therefore, the least common multiple of 6943 and 6951 is 48260793.