Least Common Multiple of 2792 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 2792 and 2800 the smallest integer that is 977200 that is divisible by both numbers.

Least Common Multiple (LCM) of 2792 and 2800 is 977200.

LCM(2792,2800) = 977200

LCM of 2792 and 2800

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

LCM of:
and

Least Common Multiple of 2792 and 2800

LCM of 2792 and 2800 is 977200

Least common multiple can be found by multiplying the highest exponent prime factors of 2792 and 2800. First we will calculate the prime factors of 2792 and 2800.

Prime Factorization of 2792


2 2792
2 1396
2 698
349 349
1

Prime factors of 2792 are 2,349. Prime factorization of 2792 in exponential form is:

2792 = 23×3491

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 2792 and 2800.

LCM(2792,2800) = 24×52×71×3491
LCM(2792,2800) = 977200

Factors of 2792

List of positive integer factors of 2792 that divides 2792 without a remainder.

1, 2, 4, 8, 349, 698, 1396, 2792

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 2792 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 2792 and 2800, than apply into the LCM equation.

GCF(2792,2800) = 8
LCM(2792,2800) = ( 2792 × 2800) / 8
LCM(2792,2800) = 7817600 / 8
LCM(2792,2800) = 977200

Properties of LCM 2792 and 2800

(i) The LCM of 2800 and 2792 is associative

LCM of 2792 and 2800 = LCM of 2800 and 2792

Related Least Common Multiples of 2792

Related Least Common Multiples of 2800

Frequently Asked Questions on LCM of 2792 and 2800

1. What is the LCM of 2792 and 2800?

Answer: LCM of 2792 and 2800 is 977200.

2. What are the Factors of 2792?

Answer: Factors of 2792 are 1, 2, 4, 8, 349, 698, 1396, 2792. There are 8 integers that are factors of 2792. The greatest factor of 2792 is 2792.

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 2792 and 2800?

Answer:

Least Common Multiple of 2792 and 2800 = 977200

Step 1: Find the prime factorization of 2792

2792 = 2 x 2 x 2 x 349

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 = 977200 = 2 x 2 x 2 x 2 x 5 x 5 x 7 x 349

Step 4: Therefore, the least common multiple of 2792 and 2800 is 977200.