Least Common Multiple of 2789 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 2789 and 2797 the smallest integer that is 7800833 that is divisible by both numbers.

Least Common Multiple (LCM) of 2789 and 2797 is 7800833.

LCM(2789,2797) = 7800833

LCM of 2789 and 2797

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

LCM of:
and

Least Common Multiple of 2789 and 2797

LCM of 2789 and 2797 is 7800833

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2797. First we will calculate the prime factors of 2789 and 2797.

Prime Factorization of 2789


2789 2789
1

Prime factors of 2789 are 2789. Prime factorization of 2789 in exponential form is:

2789 = 27891

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 2789 and 2797.

LCM(2789,2797) = 27891×27971
LCM(2789,2797) = 7800833

Factors of 2789

List of positive integer factors of 2789 that divides 2789 without a remainder.

1, 2789

Factors of 2797

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

1, 2797

Least Common Multiple of 2789 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 2789 and 2797, than apply into the LCM equation.

GCF(2789,2797) = 1
LCM(2789,2797) = ( 2789 × 2797) / 1
LCM(2789,2797) = 7800833 / 1
LCM(2789,2797) = 7800833

Properties of LCM 2789 and 2797

(i) The LCM of 2797 and 2789 is associative

LCM of 2789 and 2797 = LCM of 2797 and 2789

Related Least Common Multiples of 2789

Related Least Common Multiples of 2797

Frequently Asked Questions on LCM of 2789 and 2797

1. What is the LCM of 2789 and 2797?

Answer: LCM of 2789 and 2797 is 7800833.

2. What are the Factors of 2789?

Answer: Factors of 2789 are 1, 2789. There are 2 integers that are factors of 2789. The greatest factor of 2789 is 2789.

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 2789 and 2797?

Answer:

Least Common Multiple of 2789 and 2797 = 7800833

Step 1: Find the prime factorization of 2789

2789 = 2789

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 = 7800833 = 2789 x 2797

Step 4: Therefore, the least common multiple of 2789 and 2797 is 7800833.