Least Common Multiple of 6792 and 6800

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 6800 the smallest integer that is 5773200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6792 and 6800 is 5773200.

LCM(6792,6800) = 5773200

LCM of 6792 and 6800

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

LCM of:
and

Least Common Multiple of 6792 and 6800

LCM of 6792 and 6800 is 5773200

Least common multiple can be found by multiplying the highest exponent prime factors of 6792 and 6800. First we will calculate the prime factors of 6792 and 6800.

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 6800


2 6800
2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 6800 are 2, 5,17. Prime factorization of 6800 in exponential form is:

6800 = 24×52×171

Now multiplying the highest exponent prime factors to calculate the LCM of 6792 and 6800.

LCM(6792,6800) = 24×31×52×171×2831
LCM(6792,6800) = 5773200

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 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800

Least Common Multiple of 6792 and 6800 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 6800, than apply into the LCM equation.

GCF(6792,6800) = 8
LCM(6792,6800) = ( 6792 × 6800) / 8
LCM(6792,6800) = 46185600 / 8
LCM(6792,6800) = 5773200

Properties of LCM 6792 and 6800

(i) The LCM of 6800 and 6792 is associative

LCM of 6792 and 6800 = LCM of 6800 and 6792

Related Least Common Multiples of 6792

Related Least Common Multiples of 6800

Frequently Asked Questions on LCM of 6792 and 6800

1. What is the LCM of 6792 and 6800?

Answer: LCM of 6792 and 6800 is 5773200.

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 6800?

Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.

4. How to Find the LCM of 6792 and 6800?

Answer:

Least Common Multiple of 6792 and 6800 = 5773200

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 6800

6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17

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

LCM = 5773200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 283

Step 4: Therefore, the least common multiple of 6792 and 6800 is 5773200.