Least Common Multiple of 2798 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 2798 and 2800 the smallest integer that is 3917200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2798 and 2800 is 3917200.

LCM(2798,2800) = 3917200

LCM of 2798 and 2800

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

LCM of:
and

Least Common Multiple of 2798 and 2800

LCM of 2798 and 2800 is 3917200

Least common multiple can be found by multiplying the highest exponent prime factors of 2798 and 2800. First we will calculate the prime factors of 2798 and 2800.

Prime Factorization of 2798


2 2798
1399 1399
1

Prime factors of 2798 are 2,1399. Prime factorization of 2798 in exponential form is:

2798 = 21×13991

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 2798 and 2800.

LCM(2798,2800) = 24×52×71×13991
LCM(2798,2800) = 3917200

Factors of 2798

List of positive integer factors of 2798 that divides 2798 without a remainder.

1, 2, 1399, 2798

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 2798 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 2798 and 2800, than apply into the LCM equation.

GCF(2798,2800) = 2
LCM(2798,2800) = ( 2798 × 2800) / 2
LCM(2798,2800) = 7834400 / 2
LCM(2798,2800) = 3917200

Properties of LCM 2798 and 2800

(i) The LCM of 2800 and 2798 is associative

LCM of 2798 and 2800 = LCM of 2800 and 2798

Related Least Common Multiples of 2798

Related Least Common Multiples of 2800

Frequently Asked Questions on LCM of 2798 and 2800

1. What is the LCM of 2798 and 2800?

Answer: LCM of 2798 and 2800 is 3917200.

2. What are the Factors of 2798?

Answer: Factors of 2798 are 1, 2, 1399, 2798. There are 4 integers that are factors of 2798. The greatest factor of 2798 is 2798.

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 2798 and 2800?

Answer:

Least Common Multiple of 2798 and 2800 = 3917200

Step 1: Find the prime factorization of 2798

2798 = 2 x 1399

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 = 3917200 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 1399

Step 4: Therefore, the least common multiple of 2798 and 2800 is 3917200.