Least Common Multiple of 2791 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 2791 and 2797 the smallest integer that is 7806427 that is divisible by both numbers.

Least Common Multiple (LCM) of 2791 and 2797 is 7806427.

LCM(2791,2797) = 7806427

LCM of 2791 and 2797

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

LCM of:
and

Least Common Multiple of 2791 and 2797

LCM of 2791 and 2797 is 7806427

Least common multiple can be found by multiplying the highest exponent prime factors of 2791 and 2797. First we will calculate the prime factors of 2791 and 2797.

Prime Factorization of 2791


2791 2791
1

Prime factors of 2791 are 2791. Prime factorization of 2791 in exponential form is:

2791 = 27911

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 2791 and 2797.

LCM(2791,2797) = 27911×27971
LCM(2791,2797) = 7806427

Factors of 2791

List of positive integer factors of 2791 that divides 2791 without a remainder.

1, 2791

Factors of 2797

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

1, 2797

Least Common Multiple of 2791 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 2791 and 2797, than apply into the LCM equation.

GCF(2791,2797) = 1
LCM(2791,2797) = ( 2791 × 2797) / 1
LCM(2791,2797) = 7806427 / 1
LCM(2791,2797) = 7806427

Properties of LCM 2791 and 2797

(i) The LCM of 2797 and 2791 is associative

LCM of 2791 and 2797 = LCM of 2797 and 2791

Related Least Common Multiples of 2791

Related Least Common Multiples of 2797

Frequently Asked Questions on LCM of 2791 and 2797

1. What is the LCM of 2791 and 2797?

Answer: LCM of 2791 and 2797 is 7806427.

2. What are the Factors of 2791?

Answer: Factors of 2791 are 1, 2791. There are 2 integers that are factors of 2791. The greatest factor of 2791 is 2791.

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 2791 and 2797?

Answer:

Least Common Multiple of 2791 and 2797 = 7806427

Step 1: Find the prime factorization of 2791

2791 = 2791

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 = 7806427 = 2791 x 2797

Step 4: Therefore, the least common multiple of 2791 and 2797 is 7806427.