Least Common Multiple of 6795 and 6802

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 6802 the smallest integer that is 46219590 that is divisible by both numbers.

Least Common Multiple (LCM) of 6795 and 6802 is 46219590.

LCM(6795,6802) = 46219590

LCM of 6795 and 6802

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

LCM of:
and

Least Common Multiple of 6795 and 6802

LCM of 6795 and 6802 is 46219590

Least common multiple can be found by multiplying the highest exponent prime factors of 6795 and 6802. First we will calculate the prime factors of 6795 and 6802.

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 6802


2 6802
19 3401
179 179
1

Prime factors of 6802 are 2, 19,179. Prime factorization of 6802 in exponential form is:

6802 = 21×191×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 6795 and 6802.

LCM(6795,6802) = 21×32×51×191×1511×1791
LCM(6795,6802) = 46219590

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 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1, 2, 19, 38, 179, 358, 3401, 6802

Least Common Multiple of 6795 and 6802 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 6802, than apply into the LCM equation.

GCF(6795,6802) = 1
LCM(6795,6802) = ( 6795 × 6802) / 1
LCM(6795,6802) = 46219590 / 1
LCM(6795,6802) = 46219590

Properties of LCM 6795 and 6802

(i) The LCM of 6802 and 6795 is associative

LCM of 6795 and 6802 = LCM of 6802 and 6795

Related Least Common Multiples of 6795

Related Least Common Multiples of 6802

Frequently Asked Questions on LCM of 6795 and 6802

1. What is the LCM of 6795 and 6802?

Answer: LCM of 6795 and 6802 is 46219590.

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 6802?

Answer: Factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802. There are 8 integers that are factors of 6802. The greatest factor of 6802 is 6802.

4. How to Find the LCM of 6795 and 6802?

Answer:

Least Common Multiple of 6795 and 6802 = 46219590

Step 1: Find the prime factorization of 6795

6795 = 3 x 3 x 5 x 151

Step 2: Find the prime factorization of 6802

6802 = 2 x 19 x 179

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

LCM = 46219590 = 2 x 3 x 3 x 5 x 19 x 151 x 179

Step 4: Therefore, the least common multiple of 6795 and 6802 is 46219590.