Least Common Multiple of 2792 and 2799

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 2799 the smallest integer that is 7814808 that is divisible by both numbers.

Least Common Multiple (LCM) of 2792 and 2799 is 7814808.

LCM(2792,2799) = 7814808

LCM of 2792 and 2799

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

LCM of:
and

Least Common Multiple of 2792 and 2799

LCM of 2792 and 2799 is 7814808

Least common multiple can be found by multiplying the highest exponent prime factors of 2792 and 2799. First we will calculate the prime factors of 2792 and 2799.

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 2799


3 2799
3 933
311 311
1

Prime factors of 2799 are 3,311. Prime factorization of 2799 in exponential form is:

2799 = 32×3111

Now multiplying the highest exponent prime factors to calculate the LCM of 2792 and 2799.

LCM(2792,2799) = 23×32×3111×3491
LCM(2792,2799) = 7814808

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 2799

List of positive integer factors of 2799 that divides 2799 without a remainder.

1, 3, 9, 311, 933, 2799

Least Common Multiple of 2792 and 2799 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 2799, than apply into the LCM equation.

GCF(2792,2799) = 1
LCM(2792,2799) = ( 2792 × 2799) / 1
LCM(2792,2799) = 7814808 / 1
LCM(2792,2799) = 7814808

Properties of LCM 2792 and 2799

(i) The LCM of 2799 and 2792 is associative

LCM of 2792 and 2799 = LCM of 2799 and 2792

Related Least Common Multiples of 2792

Related Least Common Multiples of 2799

Frequently Asked Questions on LCM of 2792 and 2799

1. What is the LCM of 2792 and 2799?

Answer: LCM of 2792 and 2799 is 7814808.

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 2799?

Answer: Factors of 2799 are 1, 3, 9, 311, 933, 2799. There are 6 integers that are factors of 2799. The greatest factor of 2799 is 2799.

4. How to Find the LCM of 2792 and 2799?

Answer:

Least Common Multiple of 2792 and 2799 = 7814808

Step 1: Find the prime factorization of 2792

2792 = 2 x 2 x 2 x 349

Step 2: Find the prime factorization of 2799

2799 = 3 x 3 x 311

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

LCM = 7814808 = 2 x 2 x 2 x 3 x 3 x 311 x 349

Step 4: Therefore, the least common multiple of 2792 and 2799 is 7814808.