Least Common Multiple of 6797 and 6799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6797 and 6799 the smallest integer that is 46212803 that is divisible by both numbers.

Least Common Multiple (LCM) of 6797 and 6799 is 46212803.

LCM(6797,6799) = 46212803

LCM of 6797 and 6799

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

LCM of:
and

Least Common Multiple of 6797 and 6799

LCM of 6797 and 6799 is 46212803

Least common multiple can be found by multiplying the highest exponent prime factors of 6797 and 6799. First we will calculate the prime factors of 6797 and 6799.

Prime Factorization of 6797


7 6797
971 971
1

Prime factors of 6797 are 7,971. Prime factorization of 6797 in exponential form is:

6797 = 71×9711

Prime Factorization of 6799


13 6799
523 523
1

Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:

6799 = 131×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 6797 and 6799.

LCM(6797,6799) = 71×131×5231×9711
LCM(6797,6799) = 46212803

Factors of 6797

List of positive integer factors of 6797 that divides 6797 without a remainder.

1, 7, 971, 6797

Factors of 6799

List of positive integer factors of 6799 that divides 6799 without a remainder.

1, 13, 523, 6799

Least Common Multiple of 6797 and 6799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6797 and 6799, than apply into the LCM equation.

GCF(6797,6799) = 1
LCM(6797,6799) = ( 6797 × 6799) / 1
LCM(6797,6799) = 46212803 / 1
LCM(6797,6799) = 46212803

Properties of LCM 6797 and 6799

(i) The LCM of 6799 and 6797 is associative

LCM of 6797 and 6799 = LCM of 6799 and 6797

Related Least Common Multiples of 6797

Related Least Common Multiples of 6799

Frequently Asked Questions on LCM of 6797 and 6799

1. What is the LCM of 6797 and 6799?

Answer: LCM of 6797 and 6799 is 46212803.

2. What are the Factors of 6797?

Answer: Factors of 6797 are 1, 7, 971, 6797. There are 4 integers that are factors of 6797. The greatest factor of 6797 is 6797.

3. What are the Factors of 6799?

Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.

4. How to Find the LCM of 6797 and 6799?

Answer:

Least Common Multiple of 6797 and 6799 = 46212803

Step 1: Find the prime factorization of 6797

6797 = 7 x 971

Step 2: Find the prime factorization of 6799

6799 = 13 x 523

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

LCM = 46212803 = 7 x 13 x 523 x 971

Step 4: Therefore, the least common multiple of 6797 and 6799 is 46212803.