Least Common Multiple of 6797 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 6797 and 6801 the smallest integer that is 46226397 that is divisible by both numbers.

Least Common Multiple (LCM) of 6797 and 6801 is 46226397.

LCM(6797,6801) = 46226397

LCM of 6797 and 6801

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

LCM of:
and

Least Common Multiple of 6797 and 6801

LCM of 6797 and 6801 is 46226397

Least common multiple can be found by multiplying the highest exponent prime factors of 6797 and 6801. First we will calculate the prime factors of 6797 and 6801.

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 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 6797 and 6801.

LCM(6797,6801) = 31×71×9711×22671
LCM(6797,6801) = 46226397

Factors of 6797

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

1, 7, 971, 6797

Factors of 6801

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

1, 3, 2267, 6801

Least Common Multiple of 6797 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 6797 and 6801, than apply into the LCM equation.

GCF(6797,6801) = 1
LCM(6797,6801) = ( 6797 × 6801) / 1
LCM(6797,6801) = 46226397 / 1
LCM(6797,6801) = 46226397

Properties of LCM 6797 and 6801

(i) The LCM of 6801 and 6797 is associative

LCM of 6797 and 6801 = LCM of 6801 and 6797

Related Least Common Multiples of 6797

Related Least Common Multiples of 6801

Frequently Asked Questions on LCM of 6797 and 6801

1. What is the LCM of 6797 and 6801?

Answer: LCM of 6797 and 6801 is 46226397.

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 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 6797 and 6801?

Answer:

Least Common Multiple of 6797 and 6801 = 46226397

Step 1: Find the prime factorization of 6797

6797 = 7 x 971

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 = 46226397 = 3 x 7 x 971 x 2267

Step 4: Therefore, the least common multiple of 6797 and 6801 is 46226397.