Least Common Multiple of 2800 and 2801

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 2801 the smallest integer that is 7842800 that is divisible by both numbers.

Least Common Multiple (LCM) of 2800 and 2801 is 7842800.

LCM(2800,2801) = 7842800

LCM of 2800 and 2801

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

LCM of:
and

Least Common Multiple of 2800 and 2801

LCM of 2800 and 2801 is 7842800

Least common multiple can be found by multiplying the highest exponent prime factors of 2800 and 2801. First we will calculate the prime factors of 2800 and 2801.

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 2801


2801 2801
1

Prime factors of 2801 are 2801. Prime factorization of 2801 in exponential form is:

2801 = 28011

Now multiplying the highest exponent prime factors to calculate the LCM of 2800 and 2801.

LCM(2800,2801) = 24×52×71×28011
LCM(2800,2801) = 7842800

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 2801

List of positive integer factors of 2801 that divides 2801 without a remainder.

1, 2801

Least Common Multiple of 2800 and 2801 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 2801, than apply into the LCM equation.

GCF(2800,2801) = 1
LCM(2800,2801) = ( 2800 × 2801) / 1
LCM(2800,2801) = 7842800 / 1
LCM(2800,2801) = 7842800

Properties of LCM 2800 and 2801

(i) The LCM of 2801 and 2800 is associative

LCM of 2800 and 2801 = LCM of 2801 and 2800

Related Least Common Multiples of 2800

Related Least Common Multiples of 2801

Frequently Asked Questions on LCM of 2800 and 2801

1. What is the LCM of 2800 and 2801?

Answer: LCM of 2800 and 2801 is 7842800.

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 2801?

Answer: Factors of 2801 are 1, 2801. There are 2 integers that are factors of 2801. The greatest factor of 2801 is 2801.

4. How to Find the LCM of 2800 and 2801?

Answer:

Least Common Multiple of 2800 and 2801 = 7842800

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 2801

2801 = 2801

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

LCM = 7842800 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 2801

Step 4: Therefore, the least common multiple of 2800 and 2801 is 7842800.