Least Common Multiple of 800 and 807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 800 and 807 the smallest integer that is 645600 that is divisible by both numbers.

Least Common Multiple (LCM) of 800 and 807 is 645600.

LCM(800,807) = 645600

LCM of 800 and 807

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

LCM of:
and

Least Common Multiple of 800 and 807

LCM of 800 and 807 is 645600

Least common multiple can be found by multiplying the highest exponent prime factors of 800 and 807. First we will calculate the prime factors of 800 and 807.

Prime Factorization of 800


2 800
2 400
2 200
2 100
2 50
5 25
5 5
1

Prime factors of 800 are 2,5. Prime factorization of 800 in exponential form is:

800 = 25×52

Prime Factorization of 807


3 807
269 269
1

Prime factors of 807 are 3,269. Prime factorization of 807 in exponential form is:

807 = 31×2691

Now multiplying the highest exponent prime factors to calculate the LCM of 800 and 807.

LCM(800,807) = 25×31×52×2691
LCM(800,807) = 645600

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Least Common Multiple of 800 and 807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 800 and 807, than apply into the LCM equation.

GCF(800,807) = 1
LCM(800,807) = ( 800 × 807) / 1
LCM(800,807) = 645600 / 1
LCM(800,807) = 645600

Properties of LCM 800 and 807

(i) The LCM of 807 and 800 is associative

LCM of 800 and 807 = LCM of 807 and 800

Related Least Common Multiples of 800

Related Least Common Multiples of 807

Frequently Asked Questions on LCM of 800 and 807

1. What is the LCM of 800 and 807?

Answer: LCM of 800 and 807 is 645600.

2. What are the Factors of 800?

Answer: Factors of 800 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800. There are 18 integers that are factors of 800. The greatest factor of 800 is 800.

3. What are the Factors of 807?

Answer: Factors of 807 are 1, 3, 269, 807. There are 4 integers that are factors of 807. The greatest factor of 807 is 807.

4. How to Find the LCM of 800 and 807?

Answer:

Least Common Multiple of 800 and 807 = 645600

Step 1: Find the prime factorization of 800

800 = 2 x 2 x 2 x 2 x 2 x 5 x 5

Step 2: Find the prime factorization of 807

807 = 3 x 269

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

LCM = 645600 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 269

Step 4: Therefore, the least common multiple of 800 and 807 is 645600.