Least Common Multiple of 6951 and 6957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6951 and 6957 the smallest integer that is 16119369 that is divisible by both numbers.

Least Common Multiple (LCM) of 6951 and 6957 is 16119369.

LCM(6951,6957) = 16119369

LCM of 6951 and 6957

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

LCM of:
and

Least Common Multiple of 6951 and 6957

LCM of 6951 and 6957 is 16119369

Least common multiple can be found by multiplying the highest exponent prime factors of 6951 and 6957. First we will calculate the prime factors of 6951 and 6957.

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

Prime Factorization of 6957


3 6957
3 2319
773 773
1

Prime factors of 6957 are 3,773. Prime factorization of 6957 in exponential form is:

6957 = 32×7731

Now multiplying the highest exponent prime factors to calculate the LCM of 6951 and 6957.

LCM(6951,6957) = 32×71×3311×7731
LCM(6951,6957) = 16119369

Factors of 6951

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

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

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1, 3, 9, 773, 2319, 6957

Least Common Multiple of 6951 and 6957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6951 and 6957, than apply into the LCM equation.

GCF(6951,6957) = 3
LCM(6951,6957) = ( 6951 × 6957) / 3
LCM(6951,6957) = 48358107 / 3
LCM(6951,6957) = 16119369

Properties of LCM 6951 and 6957

(i) The LCM of 6957 and 6951 is associative

LCM of 6951 and 6957 = LCM of 6957 and 6951

Related Least Common Multiples of 6951

Related Least Common Multiples of 6957

Frequently Asked Questions on LCM of 6951 and 6957

1. What is the LCM of 6951 and 6957?

Answer: LCM of 6951 and 6957 is 16119369.

2. 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.

3. What are the Factors of 6957?

Answer: Factors of 6957 are 1, 3, 9, 773, 2319, 6957. There are 6 integers that are factors of 6957. The greatest factor of 6957 is 6957.

4. How to Find the LCM of 6951 and 6957?

Answer:

Least Common Multiple of 6951 and 6957 = 16119369

Step 1: Find the prime factorization of 6951

6951 = 3 x 7 x 331

Step 2: Find the prime factorization of 6957

6957 = 3 x 3 x 773

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

LCM = 16119369 = 3 x 3 x 7 x 331 x 773

Step 4: Therefore, the least common multiple of 6951 and 6957 is 16119369.