Least Common Multiple of 6796 and 6801

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 6801 the smallest integer that is 46219596 that is divisible by both numbers.

Least Common Multiple (LCM) of 6796 and 6801 is 46219596.

LCM(6796,6801) = 46219596

LCM of 6796 and 6801

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

LCM of:
and

Least Common Multiple of 6796 and 6801

LCM of 6796 and 6801 is 46219596

Least common multiple can be found by multiplying the highest exponent prime factors of 6796 and 6801. First we will calculate the prime factors of 6796 and 6801.

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 6801


3 6801
2267 2267
1

Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:

6801 = 31×22671

Now multiplying the highest exponent prime factors to calculate the LCM of 6796 and 6801.

LCM(6796,6801) = 22×31×16991×22671
LCM(6796,6801) = 46219596

Factors of 6796

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

1, 2, 4, 1699, 3398, 6796

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1, 3, 2267, 6801

Least Common Multiple of 6796 and 6801 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 6801, than apply into the LCM equation.

GCF(6796,6801) = 1
LCM(6796,6801) = ( 6796 × 6801) / 1
LCM(6796,6801) = 46219596 / 1
LCM(6796,6801) = 46219596

Properties of LCM 6796 and 6801

(i) The LCM of 6801 and 6796 is associative

LCM of 6796 and 6801 = LCM of 6801 and 6796

Related Least Common Multiples of 6796

Related Least Common Multiples of 6801

Frequently Asked Questions on LCM of 6796 and 6801

1. What is the LCM of 6796 and 6801?

Answer: LCM of 6796 and 6801 is 46219596.

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 6801?

Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.

4. How to Find the LCM of 6796 and 6801?

Answer:

Least Common Multiple of 6796 and 6801 = 46219596

Step 1: Find the prime factorization of 6796

6796 = 2 x 2 x 1699

Step 2: Find the prime factorization of 6801

6801 = 3 x 2267

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

LCM = 46219596 = 2 x 2 x 3 x 1699 x 2267

Step 4: Therefore, the least common multiple of 6796 and 6801 is 46219596.