Least Common Multiple of 6796 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 6796 and 6799 the smallest integer that is 46206004 that is divisible by both numbers.

Least Common Multiple (LCM) of 6796 and 6799 is 46206004.

LCM(6796,6799) = 46206004

LCM of 6796 and 6799

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

LCM of:
and

Least Common Multiple of 6796 and 6799

LCM of 6796 and 6799 is 46206004

Least common multiple can be found by multiplying the highest exponent prime factors of 6796 and 6799. First we will calculate the prime factors of 6796 and 6799.

Prime Factorization of 6796


2 6796
2 3398
1699 1699
1

Prime factors of 6796 are 2,1699. Prime factorization of 6796 in exponential form is:

6796 = 22×16991

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 6796 and 6799.

LCM(6796,6799) = 22×131×5231×16991
LCM(6796,6799) = 46206004

Factors of 6796

List of positive integer factors of 6796 that divides 6796 without a remainder.

1, 2, 4, 1699, 3398, 6796

Factors of 6799

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

1, 13, 523, 6799

Least Common Multiple of 6796 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 6796 and 6799, than apply into the LCM equation.

GCF(6796,6799) = 1
LCM(6796,6799) = ( 6796 × 6799) / 1
LCM(6796,6799) = 46206004 / 1
LCM(6796,6799) = 46206004

Properties of LCM 6796 and 6799

(i) The LCM of 6799 and 6796 is associative

LCM of 6796 and 6799 = LCM of 6799 and 6796

Related Least Common Multiples of 6796

Related Least Common Multiples of 6799

Frequently Asked Questions on LCM of 6796 and 6799

1. What is the LCM of 6796 and 6799?

Answer: LCM of 6796 and 6799 is 46206004.

2. What are the Factors of 6796?

Answer: Factors of 6796 are 1, 2, 4, 1699, 3398, 6796. There are 6 integers that are factors of 6796. The greatest factor of 6796 is 6796.

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 6796 and 6799?

Answer:

Least Common Multiple of 6796 and 6799 = 46206004

Step 1: Find the prime factorization of 6796

6796 = 2 x 2 x 1699

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 = 46206004 = 2 x 2 x 13 x 523 x 1699

Step 4: Therefore, the least common multiple of 6796 and 6799 is 46206004.