Least Common Multiple of 2789 and 2796

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 2796 the smallest integer that is 7798044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2789 and 2796 is 7798044.

LCM(2789,2796) = 7798044

LCM of 2789 and 2796

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

LCM of:
and

Least Common Multiple of 2789 and 2796

LCM of 2789 and 2796 is 7798044

Least common multiple can be found by multiplying the highest exponent prime factors of 2789 and 2796. First we will calculate the prime factors of 2789 and 2796.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2789 and 2796.

LCM(2789,2796) = 22×31×2331×27891
LCM(2789,2796) = 7798044

Factors of 2789

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

1, 2789

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

Least Common Multiple of 2789 and 2796 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 2796, than apply into the LCM equation.

GCF(2789,2796) = 1
LCM(2789,2796) = ( 2789 × 2796) / 1
LCM(2789,2796) = 7798044 / 1
LCM(2789,2796) = 7798044

Properties of LCM 2789 and 2796

(i) The LCM of 2796 and 2789 is associative

LCM of 2789 and 2796 = LCM of 2796 and 2789

Related Least Common Multiples of 2789

Related Least Common Multiples of 2796

Frequently Asked Questions on LCM of 2789 and 2796

1. What is the LCM of 2789 and 2796?

Answer: LCM of 2789 and 2796 is 7798044.

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 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.

4. How to Find the LCM of 2789 and 2796?

Answer:

Least Common Multiple of 2789 and 2796 = 7798044

Step 1: Find the prime factorization of 2789

2789 = 2789

Step 2: Find the prime factorization of 2796

2796 = 2 x 2 x 3 x 233

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

LCM = 7798044 = 2 x 2 x 3 x 233 x 2789

Step 4: Therefore, the least common multiple of 2789 and 2796 is 7798044.