Least Common Multiple of 2796 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 2796 and 2800 the smallest integer that is 1957200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2796 and 2800 is 1957200.

LCM(2796,2800) = 1957200

LCM of 2796 and 2800

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

LCM of:
and

Least Common Multiple of 2796 and 2800

LCM of 2796 and 2800 is 1957200

Least common multiple can be found by multiplying the highest exponent prime factors of 2796 and 2800. First we will calculate the prime factors of 2796 and 2800.

Prime Factorization of 2796


2 2796
2 1398
3 699
233 233
1

Prime factors of 2796 are 2, 3,233. Prime factorization of 2796 in exponential form is:

2796 = 22×31×2331

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 2796 and 2800.

LCM(2796,2800) = 24×31×52×71×2331
LCM(2796,2800) = 1957200

Factors of 2796

List of positive integer factors of 2796 that divides 2796 without a remainder.

1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796

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 2796 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 2796 and 2800, than apply into the LCM equation.

GCF(2796,2800) = 4
LCM(2796,2800) = ( 2796 × 2800) / 4
LCM(2796,2800) = 7828800 / 4
LCM(2796,2800) = 1957200

Properties of LCM 2796 and 2800

(i) The LCM of 2800 and 2796 is associative

LCM of 2796 and 2800 = LCM of 2800 and 2796

Related Least Common Multiples of 2796

Related Least Common Multiples of 2800

Frequently Asked Questions on LCM of 2796 and 2800

1. What is the LCM of 2796 and 2800?

Answer: LCM of 2796 and 2800 is 1957200.

2. What are the Factors of 2796?

Answer: Factors of 2796 are 1, 2, 3, 4, 6, 12, 233, 466, 699, 932, 1398, 2796. There are 12 integers that are factors of 2796. The greatest factor of 2796 is 2796.

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 2796 and 2800?

Answer:

Least Common Multiple of 2796 and 2800 = 1957200

Step 1: Find the prime factorization of 2796

2796 = 2 x 2 x 3 x 233

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 = 1957200 = 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 233

Step 4: Therefore, the least common multiple of 2796 and 2800 is 1957200.