Least Common Multiple of 2796 and 2797

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 2797 the smallest integer that is 7820412 that is divisible by both numbers.

Least Common Multiple (LCM) of 2796 and 2797 is 7820412.

LCM(2796,2797) = 7820412

LCM of 2796 and 2797

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

LCM of:
and

Least Common Multiple of 2796 and 2797

LCM of 2796 and 2797 is 7820412

Least common multiple can be found by multiplying the highest exponent prime factors of 2796 and 2797. First we will calculate the prime factors of 2796 and 2797.

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 2797


2797 2797
1

Prime factors of 2797 are 2797. Prime factorization of 2797 in exponential form is:

2797 = 27971

Now multiplying the highest exponent prime factors to calculate the LCM of 2796 and 2797.

LCM(2796,2797) = 22×31×2331×27971
LCM(2796,2797) = 7820412

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 2797

List of positive integer factors of 2797 that divides 2797 without a remainder.

1, 2797

Least Common Multiple of 2796 and 2797 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 2797, than apply into the LCM equation.

GCF(2796,2797) = 1
LCM(2796,2797) = ( 2796 × 2797) / 1
LCM(2796,2797) = 7820412 / 1
LCM(2796,2797) = 7820412

Properties of LCM 2796 and 2797

(i) The LCM of 2797 and 2796 is associative

LCM of 2796 and 2797 = LCM of 2797 and 2796

Related Least Common Multiples of 2796

Related Least Common Multiples of 2797

Frequently Asked Questions on LCM of 2796 and 2797

1. What is the LCM of 2796 and 2797?

Answer: LCM of 2796 and 2797 is 7820412.

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 2797?

Answer: Factors of 2797 are 1, 2797. There are 2 integers that are factors of 2797. The greatest factor of 2797 is 2797.

4. How to Find the LCM of 2796 and 2797?

Answer:

Least Common Multiple of 2796 and 2797 = 7820412

Step 1: Find the prime factorization of 2796

2796 = 2 x 2 x 3 x 233

Step 2: Find the prime factorization of 2797

2797 = 2797

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

LCM = 7820412 = 2 x 2 x 3 x 233 x 2797

Step 4: Therefore, the least common multiple of 2796 and 2797 is 7820412.