Least Common Multiple of 2792 and 2795

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 2795 the smallest integer that is 7803640 that is divisible by both numbers.

Least Common Multiple (LCM) of 2792 and 2795 is 7803640.

LCM(2792,2795) = 7803640

LCM of 2792 and 2795

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

LCM of:
and

Least Common Multiple of 2792 and 2795

LCM of 2792 and 2795 is 7803640

Least common multiple can be found by multiplying the highest exponent prime factors of 2792 and 2795. First we will calculate the prime factors of 2792 and 2795.

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 2795


5 2795
13 559
43 43
1

Prime factors of 2795 are 5, 13,43. Prime factorization of 2795 in exponential form is:

2795 = 51×131×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2792 and 2795.

LCM(2792,2795) = 23×51×131×431×3491
LCM(2792,2795) = 7803640

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 2795

List of positive integer factors of 2795 that divides 2795 without a remainder.

1, 5, 13, 43, 65, 215, 559, 2795

Least Common Multiple of 2792 and 2795 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 2795, than apply into the LCM equation.

GCF(2792,2795) = 1
LCM(2792,2795) = ( 2792 × 2795) / 1
LCM(2792,2795) = 7803640 / 1
LCM(2792,2795) = 7803640

Properties of LCM 2792 and 2795

(i) The LCM of 2795 and 2792 is associative

LCM of 2792 and 2795 = LCM of 2795 and 2792

Related Least Common Multiples of 2792

Related Least Common Multiples of 2795

Frequently Asked Questions on LCM of 2792 and 2795

1. What is the LCM of 2792 and 2795?

Answer: LCM of 2792 and 2795 is 7803640.

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 2795?

Answer: Factors of 2795 are 1, 5, 13, 43, 65, 215, 559, 2795. There are 8 integers that are factors of 2795. The greatest factor of 2795 is 2795.

4. How to Find the LCM of 2792 and 2795?

Answer:

Least Common Multiple of 2792 and 2795 = 7803640

Step 1: Find the prime factorization of 2792

2792 = 2 x 2 x 2 x 349

Step 2: Find the prime factorization of 2795

2795 = 5 x 13 x 43

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

LCM = 7803640 = 2 x 2 x 2 x 5 x 13 x 43 x 349

Step 4: Therefore, the least common multiple of 2792 and 2795 is 7803640.