Least Common Multiple of 6792 and 6795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6792 and 6795 the smallest integer that is 15383880 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6795 is 15383880.

LCM(6792,6795) = 15383880

LCM of 6792 and 6795

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

LCM of:
and

Least Common Multiple of 6792 and 6795

LCM of 6792 and 6795 is 15383880

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6795. First we will calculate the prime factors of 6792 and 6795.

Prime Factorization of 6792


2 6792
2 3396
2 1698
3 849
283 283
1

Prime factors of 6792 are 2, 3,283. Prime factorization of 6792 in exponential form is:

6792 = 23×31×2831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6795.

LCM(6792,6795) = 23×32×51×1511×2831
LCM(6792,6795) = 15383880

Factors of 6792

List of positive integer factors of 6792 that divides 6792 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792

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

Least Common Multiple of 6792 and 6795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6792 and 6795, than apply into the LCM equation.

GCF(6792,6795) = 3
LCM(6792,6795) = ( 6792 × 6795) / 3
LCM(6792,6795) = 46151640 / 3
LCM(6792,6795) = 15383880

Properties of LCM 6792 and 6795

(i) The LCM of 6795 and 6792 is associative

LCM of 6792 and 6795 = LCM of 6795 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6795

Frequently Asked Questions on LCM of 6792 and 6795

1. What is the LCM of 6792 and 6795?

Answer: LCM of 6792 and 6795 is 15383880.

2. What are the Factors of 6792?

Answer: Factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792. There are 16 integers that are factors of 6792. The greatest factor of 6792 is 6792.

3. 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.

4. How to Find the LCM of 6792 and 6795?

Answer:

Least Common Multiple of 6792 and 6795 = 15383880

Step 1: Find the prime factorization of 6792

6792 = 2 x 2 x 2 x 3 x 283

Step 2: Find the prime factorization of 6795

6795 = 3 x 3 x 5 x 151

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

LCM = 15383880 = 2 x 2 x 2 x 3 x 3 x 5 x 151 x 283

Step 4: Therefore, the least common multiple of 6792 and 6795 is 15383880.