Least Common Multiple of 6945 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 6945 and 6951 the smallest integer that is 16091565 that is divisible by both numbers.

Least Common Multiple (LCM) of 6945 and 6951 is 16091565.

LCM(6945,6951) = 16091565

LCM of 6945 and 6951

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

LCM of:
and

Least Common Multiple of 6945 and 6951

LCM of 6945 and 6951 is 16091565

Least common multiple can be found by multiplying the highest exponent prime factors of 6945 and 6951. First we will calculate the prime factors of 6945 and 6951.

Prime Factorization of 6945


3 6945
5 2315
463 463
1

Prime factors of 6945 are 3, 5,463. Prime factorization of 6945 in exponential form is:

6945 = 31×51×4631

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 6945 and 6951.

LCM(6945,6951) = 31×51×71×3311×4631
LCM(6945,6951) = 16091565

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1, 3, 5, 15, 463, 1389, 2315, 6945

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 6945 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 6945 and 6951, than apply into the LCM equation.

GCF(6945,6951) = 3
LCM(6945,6951) = ( 6945 × 6951) / 3
LCM(6945,6951) = 48274695 / 3
LCM(6945,6951) = 16091565

Properties of LCM 6945 and 6951

(i) The LCM of 6951 and 6945 is associative

LCM of 6945 and 6951 = LCM of 6951 and 6945

Related Least Common Multiples of 6945

Related Least Common Multiples of 6951

Frequently Asked Questions on LCM of 6945 and 6951

1. What is the LCM of 6945 and 6951?

Answer: LCM of 6945 and 6951 is 16091565.

2. What are the Factors of 6945?

Answer: Factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945. There are 8 integers that are factors of 6945. The greatest factor of 6945 is 6945.

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 6945 and 6951?

Answer:

Least Common Multiple of 6945 and 6951 = 16091565

Step 1: Find the prime factorization of 6945

6945 = 3 x 5 x 463

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 = 16091565 = 3 x 5 x 7 x 331 x 463

Step 4: Therefore, the least common multiple of 6945 and 6951 is 16091565.