Least Common Multiple of 6800 and 6807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6800 and 6807 the smallest integer that is 46287600 that is divisible by both numbers.

Least Common Multiple (LCM) of 6800 and 6807 is 46287600.

LCM(6800,6807) = 46287600

LCM of 6800 and 6807

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

LCM of:
and

Least Common Multiple of 6800 and 6807

LCM of 6800 and 6807 is 46287600

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6807. First we will calculate the prime factors of 6800 and 6807.

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

Prime Factorization of 6807


3 6807
2269 2269
1

Prime factors of 6807 are 3,2269. Prime factorization of 6807 in exponential form is:

6807 = 31×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6807.

LCM(6800,6807) = 24×31×52×171×22691
LCM(6800,6807) = 46287600

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

Factors of 6807

List of positive integer factors of 6807 that divides 6807 without a remainder.

1, 3, 2269, 6807

Least Common Multiple of 6800 and 6807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6800 and 6807, than apply into the LCM equation.

GCF(6800,6807) = 1
LCM(6800,6807) = ( 6800 × 6807) / 1
LCM(6800,6807) = 46287600 / 1
LCM(6800,6807) = 46287600

Properties of LCM 6800 and 6807

(i) The LCM of 6807 and 6800 is associative

LCM of 6800 and 6807 = LCM of 6807 and 6800

Related Least Common Multiples of 6800

Related Least Common Multiples of 6807

Frequently Asked Questions on LCM of 6800 and 6807

1. What is the LCM of 6800 and 6807?

Answer: LCM of 6800 and 6807 is 46287600.

2. 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.

3. What are the Factors of 6807?

Answer: Factors of 6807 are 1, 3, 2269, 6807. There are 4 integers that are factors of 6807. The greatest factor of 6807 is 6807.

4. How to Find the LCM of 6800 and 6807?

Answer:

Least Common Multiple of 6800 and 6807 = 46287600

Step 1: Find the prime factorization of 6800

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

Step 2: Find the prime factorization of 6807

6807 = 3 x 2269

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

LCM = 46287600 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 2269

Step 4: Therefore, the least common multiple of 6800 and 6807 is 46287600.