Least Common Multiple of 6798 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 6798 and 6800 the smallest integer that is 23113200 that is divisible by both numbers.

Least Common Multiple (LCM) of 6798 and 6800 is 23113200.

LCM(6798,6800) = 23113200

LCM of 6798 and 6800

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

LCM of:
and

Least Common Multiple of 6798 and 6800

LCM of 6798 and 6800 is 23113200

Least common multiple can be found by multiplying the highest exponent prime factors of 6798 and 6800. First we will calculate the prime factors of 6798 and 6800.

Prime Factorization of 6798


2 6798
3 3399
11 1133
103 103
1

Prime factors of 6798 are 2, 3, 11,103. Prime factorization of 6798 in exponential form is:

6798 = 21×31×111×1031

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 6798 and 6800.

LCM(6798,6800) = 24×31×52×111×171×1031
LCM(6798,6800) = 23113200

Factors of 6798

List of positive integer factors of 6798 that divides 6798 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798

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 6798 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 6798 and 6800, than apply into the LCM equation.

GCF(6798,6800) = 2
LCM(6798,6800) = ( 6798 × 6800) / 2
LCM(6798,6800) = 46226400 / 2
LCM(6798,6800) = 23113200

Properties of LCM 6798 and 6800

(i) The LCM of 6800 and 6798 is associative

LCM of 6798 and 6800 = LCM of 6800 and 6798

Related Least Common Multiples of 6798

Related Least Common Multiples of 6800

Frequently Asked Questions on LCM of 6798 and 6800

1. What is the LCM of 6798 and 6800?

Answer: LCM of 6798 and 6800 is 23113200.

2. What are the Factors of 6798?

Answer: Factors of 6798 are 1, 2, 3, 6, 11, 22, 33, 66, 103, 206, 309, 618, 1133, 2266, 3399, 6798. There are 16 integers that are factors of 6798. The greatest factor of 6798 is 6798.

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 6798 and 6800?

Answer:

Least Common Multiple of 6798 and 6800 = 23113200

Step 1: Find the prime factorization of 6798

6798 = 2 x 3 x 11 x 103

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 = 23113200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 11 x 17 x 103

Step 4: Therefore, the least common multiple of 6798 and 6800 is 23113200.