Least Common Multiple of 2797 and 2800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2797 and 2800 the smallest integer that is 7831600 that is divisible by both numbers.

Least Common Multiple (LCM) of 2797 and 2800 is 7831600.

LCM(2797,2800) = 7831600

LCM of 2797 and 2800

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

LCM of:
and

Least Common Multiple of 2797 and 2800

LCM of 2797 and 2800 is 7831600

Least common multiple can be found by multiplying the highest exponent prime factors of 2797 and 2800. First we will calculate the prime factors of 2797 and 2800.

Prime Factorization of 2797


2797 2797
1

Prime factors of 2797 are 2797. Prime factorization of 2797 in exponential form is:

2797 = 27971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2797 and 2800.

LCM(2797,2800) = 24×52×71×27971
LCM(2797,2800) = 7831600

Factors of 2797

List of positive integer factors of 2797 that divides 2797 without a remainder.

1, 2797

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

Least Common Multiple of 2797 and 2800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2797 and 2800, than apply into the LCM equation.

GCF(2797,2800) = 1
LCM(2797,2800) = ( 2797 × 2800) / 1
LCM(2797,2800) = 7831600 / 1
LCM(2797,2800) = 7831600

Properties of LCM 2797 and 2800

(i) The LCM of 2800 and 2797 is associative

LCM of 2797 and 2800 = LCM of 2800 and 2797

Related Least Common Multiples of 2797

Related Least Common Multiples of 2800

Frequently Asked Questions on LCM of 2797 and 2800

1. What is the LCM of 2797 and 2800?

Answer: LCM of 2797 and 2800 is 7831600.

2. What are the Factors of 2797?

Answer: Factors of 2797 are 1, 2797. There are 2 integers that are factors of 2797. The greatest factor of 2797 is 2797.

3. 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.

4. How to Find the LCM of 2797 and 2800?

Answer:

Least Common Multiple of 2797 and 2800 = 7831600

Step 1: Find the prime factorization of 2797

2797 = 2797

Step 2: Find the prime factorization of 2800

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

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

LCM = 7831600 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 2797

Step 4: Therefore, the least common multiple of 2797 and 2800 is 7831600.