Least Common Multiple of 6792 and 6793

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 6793 the smallest integer that is 46138056 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6793 is 46138056.

LCM(6792,6793) = 46138056

LCM of 6792 and 6793

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

LCM of:
and

Least Common Multiple of 6792 and 6793

LCM of 6792 and 6793 is 46138056

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6793. First we will calculate the prime factors of 6792 and 6793.

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 6793


6793 6793
1

Prime factors of 6793 are 6793. Prime factorization of 6793 in exponential form is:

6793 = 67931

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6793.

LCM(6792,6793) = 23×31×2831×67931
LCM(6792,6793) = 46138056

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 6793

List of positive integer factors of 6793 that divides 6793 without a remainder.

1, 6793

Least Common Multiple of 6792 and 6793 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 6793, than apply into the LCM equation.

GCF(6792,6793) = 1
LCM(6792,6793) = ( 6792 × 6793) / 1
LCM(6792,6793) = 46138056 / 1
LCM(6792,6793) = 46138056

Properties of LCM 6792 and 6793

(i) The LCM of 6793 and 6792 is associative

LCM of 6792 and 6793 = LCM of 6793 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6793

Frequently Asked Questions on LCM of 6792 and 6793

1. What is the LCM of 6792 and 6793?

Answer: LCM of 6792 and 6793 is 46138056.

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 6793?

Answer: Factors of 6793 are 1, 6793. There are 2 integers that are factors of 6793. The greatest factor of 6793 is 6793.

4. How to Find the LCM of 6792 and 6793?

Answer:

Least Common Multiple of 6792 and 6793 = 46138056

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 6793

6793 = 6793

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

LCM = 46138056 = 2 x 2 x 2 x 3 x 283 x 6793

Step 4: Therefore, the least common multiple of 6792 and 6793 is 46138056.