Least Common Multiple of 6795 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 6795 and 6801 the smallest integer that is 15404265 that is divisible by both numbers.

Least Common Multiple (LCM) of 6795 and 6801 is 15404265.

LCM(6795,6801) = 15404265

LCM of 6795 and 6801

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

LCM of:
and

Least Common Multiple of 6795 and 6801

LCM of 6795 and 6801 is 15404265

Least common multiple can be found by multiplying the highest exponent prime factors of 6795 and 6801. First we will calculate the prime factors of 6795 and 6801.

Prime Factorization of 6795


3 6795
3 2265
5 755
151 151
1

Prime factors of 6795 are 3, 5,151. Prime factorization of 6795 in exponential form is:

6795 = 32×51×1511

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 6795 and 6801.

LCM(6795,6801) = 32×51×1511×22671
LCM(6795,6801) = 15404265

Factors of 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795

Factors of 6801

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

1, 3, 2267, 6801

Least Common Multiple of 6795 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 6795 and 6801, than apply into the LCM equation.

GCF(6795,6801) = 3
LCM(6795,6801) = ( 6795 × 6801) / 3
LCM(6795,6801) = 46212795 / 3
LCM(6795,6801) = 15404265

Properties of LCM 6795 and 6801

(i) The LCM of 6801 and 6795 is associative

LCM of 6795 and 6801 = LCM of 6801 and 6795

Related Least Common Multiples of 6795

Related Least Common Multiples of 6801

Frequently Asked Questions on LCM of 6795 and 6801

1. What is the LCM of 6795 and 6801?

Answer: LCM of 6795 and 6801 is 15404265.

2. What are the Factors of 6795?

Answer: Factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795. There are 12 integers that are factors of 6795. The greatest factor of 6795 is 6795.

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 6795 and 6801?

Answer:

Least Common Multiple of 6795 and 6801 = 15404265

Step 1: Find the prime factorization of 6795

6795 = 3 x 3 x 5 x 151

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 = 15404265 = 3 x 3 x 5 x 151 x 2267

Step 4: Therefore, the least common multiple of 6795 and 6801 is 15404265.