Least Common Multiple of 2800 and 2807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2800 and 2807 the smallest integer that is 1122800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2800 and 2807 is 1122800.

LCM(2800,2807) = 1122800

LCM of 2800 and 2807

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

LCM of:
and

Least Common Multiple of 2800 and 2807

LCM of 2800 and 2807 is 1122800

Least common multiple can be found by multiplying the highest exponent prime factors of 2800 and 2807. First we will calculate the prime factors of 2800 and 2807.

Prime Factorization of 2800


2 2800
2 1400
2 700
2 350
5 175
5 35
7 7
1

Prime factors of 2800 are 2, 5,7. Prime factorization of 2800 in exponential form is:

2800 = 24×52×71

Prime Factorization of 2807


7 2807
401 401
1

Prime factors of 2807 are 7,401. Prime factorization of 2807 in exponential form is:

2807 = 71×4011

Now multiplying the highest exponent prime factors to calculate the LCM of 2800 and 2807.

LCM(2800,2807) = 24×52×71×4011
LCM(2800,2807) = 1122800

Factors of 2800

List of positive integer factors of 2800 that divides 2800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800

Factors of 2807

List of positive integer factors of 2807 that divides 2807 without a remainder.

1, 7, 401, 2807

Least Common Multiple of 2800 and 2807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2800 and 2807, than apply into the LCM equation.

GCF(2800,2807) = 7
LCM(2800,2807) = ( 2800 × 2807) / 7
LCM(2800,2807) = 7859600 / 7
LCM(2800,2807) = 1122800

Properties of LCM 2800 and 2807

(i) The LCM of 2807 and 2800 is associative

LCM of 2800 and 2807 = LCM of 2807 and 2800

Related Least Common Multiples of 2800

Related Least Common Multiples of 2807

Frequently Asked Questions on LCM of 2800 and 2807

1. What is the LCM of 2800 and 2807?

Answer: LCM of 2800 and 2807 is 1122800.

2. What are the Factors of 2800?

Answer: Factors of 2800 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 35, 40, 50, 56, 70, 80, 100, 112, 140, 175, 200, 280, 350, 400, 560, 700, 1400, 2800. There are 30 integers that are factors of 2800. The greatest factor of 2800 is 2800.

3. What are the Factors of 2807?

Answer: Factors of 2807 are 1, 7, 401, 2807. There are 4 integers that are factors of 2807. The greatest factor of 2807 is 2807.

4. How to Find the LCM of 2800 and 2807?

Answer:

Least Common Multiple of 2800 and 2807 = 1122800

Step 1: Find the prime factorization of 2800

2800 = 2 x 2 x 2 x 2 x 5 x 5 x 7

Step 2: Find the prime factorization of 2807

2807 = 7 x 401

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

LCM = 1122800 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 401

Step 4: Therefore, the least common multiple of 2800 and 2807 is 1122800.