Least Common Multiple of 6794 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 6794 and 6800 the smallest integer that is 23099600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6794 and 6800 is 23099600.

LCM(6794,6800) = 23099600

LCM of 6794 and 6800

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

LCM of:
and

Least Common Multiple of 6794 and 6800

LCM of 6794 and 6800 is 23099600

Least common multiple can be found by multiplying the highest exponent prime factors of 6794 and 6800. First we will calculate the prime factors of 6794 and 6800.

Prime Factorization of 6794


2 6794
43 3397
79 79
1

Prime factors of 6794 are 2, 43,79. Prime factorization of 6794 in exponential form is:

6794 = 21×431×791

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 6794 and 6800.

LCM(6794,6800) = 24×52×171×431×791
LCM(6794,6800) = 23099600

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1, 2, 43, 79, 86, 158, 3397, 6794

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 6794 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 6794 and 6800, than apply into the LCM equation.

GCF(6794,6800) = 2
LCM(6794,6800) = ( 6794 × 6800) / 2
LCM(6794,6800) = 46199200 / 2
LCM(6794,6800) = 23099600

Properties of LCM 6794 and 6800

(i) The LCM of 6800 and 6794 is associative

LCM of 6794 and 6800 = LCM of 6800 and 6794

Related Least Common Multiples of 6794

Related Least Common Multiples of 6800

Frequently Asked Questions on LCM of 6794 and 6800

1. What is the LCM of 6794 and 6800?

Answer: LCM of 6794 and 6800 is 23099600.

2. What are the Factors of 6794?

Answer: Factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794. There are 8 integers that are factors of 6794. The greatest factor of 6794 is 6794.

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 6794 and 6800?

Answer:

Least Common Multiple of 6794 and 6800 = 23099600

Step 1: Find the prime factorization of 6794

6794 = 2 x 43 x 79

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 = 23099600 = 2 x 2 x 2 x 2 x 5 x 5 x 17 x 43 x 79

Step 4: Therefore, the least common multiple of 6794 and 6800 is 23099600.