Least Common Multiple of 6792 and 6799

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 6799 the smallest integer that is 46178808 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6799 is 46178808.

LCM(6792,6799) = 46178808

LCM of 6792 and 6799

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

LCM of:
and

Least Common Multiple of 6792 and 6799

LCM of 6792 and 6799 is 46178808

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6799. First we will calculate the prime factors of 6792 and 6799.

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 6799


13 6799
523 523
1

Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:

6799 = 131×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6799.

LCM(6792,6799) = 23×31×131×2831×5231
LCM(6792,6799) = 46178808

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 6799

List of positive integer factors of 6799 that divides 6799 without a remainder.

1, 13, 523, 6799

Least Common Multiple of 6792 and 6799 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 6799, than apply into the LCM equation.

GCF(6792,6799) = 1
LCM(6792,6799) = ( 6792 × 6799) / 1
LCM(6792,6799) = 46178808 / 1
LCM(6792,6799) = 46178808

Properties of LCM 6792 and 6799

(i) The LCM of 6799 and 6792 is associative

LCM of 6792 and 6799 = LCM of 6799 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6799

Frequently Asked Questions on LCM of 6792 and 6799

1. What is the LCM of 6792 and 6799?

Answer: LCM of 6792 and 6799 is 46178808.

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 6799?

Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.

4. How to Find the LCM of 6792 and 6799?

Answer:

Least Common Multiple of 6792 and 6799 = 46178808

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 6799

6799 = 13 x 523

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

LCM = 46178808 = 2 x 2 x 2 x 3 x 13 x 283 x 523

Step 4: Therefore, the least common multiple of 6792 and 6799 is 46178808.